CG SCERT (Chhattisgarh Board) Class 9 Mathematics Solutions | 2026-27 Official Edition
Complete 100% textbook-grounded CG Board Class 9 Mathematics Chapter 5 Solutions: Linear Equation in One Variable (एक चर का रैखिक समीकरण) in Bilingual Format (English & Hindi Medium).
Question 1
हिंदी अन्य बीजीय व्यंजकों को लेकर उन्हें अलगअलग…
Take some other algebraic expressions and write them in different ways.
Question 2
हिंदी निम्नलिखित प्रत्येक के लिए तीनतीन संबंध बनाइए…
Create three relations for each of these
(i) 2 and 5
(ii) 11 and 25
(iii) 40 and 123
(i) For 2 and 5 / 2 5 :
(ii) For 11 and 25 / 11 25 :
(iii) For 40 and 123 / 40 123 :
- English: 4 is 2 less than any number.
Hindi: 4 2
- Solution / : Let the number be x.
According to statement: x – 2 = 4.
- English: Addition of 8 and any number is 12.
Hindi: 8 12
- Solution / : Let the number be y.
According to statement: y + 8 = 12.
- Add 5 → Square the sum: (5 + 5)2 = 100.
- Square 5 → Add 5: 52 + 5 = 25 + 5 = 30.
- Multiply by 2 → Subtract 4: (5 × 2) – 4 = 10 – 4 = 6.
- Subtract 4 → Multiply by 2: (5 – 4) × 2 = 1 × 2 = 2.
(ii) For input variable x / x :
- Add 5 → Square the sum: (x + 5)2.
- Square x → Add 5: x2 + 5.
- Multiply by 2 → Subtract 4: 2x – 4.
- Subtract 4 → Multiply by 2: 2(x – 4).
(iii) For input variable x / x :
- Multiply by 3 → Add 6: 3x + 6.
- Subtract 6 → Multiply by 3: 3(x – 6).
- Add 6 → Divide by 3: (x + 6)/(3).
- Divide by 3 → Subtract 6: x/3 – 6 = 18.
Make statements for the following algebraic equations:
(i) 2x – 3 = 42
(ii) 12x – 3 = 105
(iii) (x)/(x + 4) = 28
(iv) x + 6 = 28
(v) 3x + 3 = 15
(i) 2x – 3 = 42
- English: Subtracting 3 from double of a number gives 42.
- Hindi: 3 42
(ii) 12x – 3 = 105
- English: Subtracting 3 from 12 times of a number gives 105.
- Hindi: 12 3 105
(iii) (x)/(x + 4) = 28
- English: Dividing a number x by 4 more than itself gives 28.
- Hindi: x 4 28
(iv) x + 6 = 28
- English: Adding 6 to a number gives 28.
- Hindi: 6 28
(v) 3x + 3 = 15
- English: Adding 3 to 3 times of a number gives 15.
- Hindi: 3 15
Make equations from the statements given below
हिंदी दो क्रमागत संख्याओं का योग 11 है।
(i) The sum of two consecutive numbers is 11.**
(ii) The sum of Tikendra and Tejaram’s age is 30 whereas Tikendra’s age is twice of Tejaram’s age.
(iii) One side of a triangle is twice of the second side and equal to the third side. Sum of the sides is 40.
(iv) The length of a rectangle is 3 units more than its breadth. The perimeter of that rectangle is 15 units.
(v) Ramesh, Dinesh, and Satish have pencils in ratio of 2 : 3 : 4. The total number of pencils is 18.
Solve the equations given below
Solve the equations given below
(i) 5x + 2 = 17**
(ii) 5p + 1 = 24
(iii) 4x + 8x = 17x – 9 – 1
(iv) -7 + 3t – 9t = 12t – 5
(v) 3(z – 2) + 5z = 2
(vi) -2 + (x + 4) = 8x
Make statements for the following equations
हिंदी किसी संख्या में 3 जोड़ने पर 27…
(i) x + 3 = 27**
If we add 3 to a certain number, we get 27.
(ii) x + x/2 = 18
Sneha’s age is half of Rajiv’s age and the sum of both their ages is 18 years.
(iii) (x)/(x + 2) = 30
If we divide a number x by 2 added to it, we get 30.
Solve the equations
Solve the equations
(i) 6 + (4 – m) = 8(3m + 5)**
(ii) 2(k – 5) + 3k = k + 6
(iii) 5p + 4(3 – 2p) = 2 + p – 10
(iv) Equation yielding x = -68/25
(v) m – (m – 1)/(2) = 1 – (m – 2)/(3)
(vi) (3t – 2)/(4) – (2t – 3)/(3) = 2/3
(vii) x/2 – 1/5 = x/3 + 1/4
(viii) Equation yielding x = 35/33
(ix) Equation yielding y = -8
Question 7
हिंदी एक त्रिभुज का क्षेत्रफल 36 वर्ग मीटर…
Area of a triangle is 36 sq m and the length of its base is 12 meter. Find the height of the triangle.
Question 8
हिंदी किसी आयत की लंबाई उसकी चौड़ाई से…
The length of a rectangle is 5 cm more than its breadth. Its perimeter is five times its breadth. Find the length and breadth of the rectangle.
Question 9
हिंदी एक त्रिभुज का एक कोण दूसरे कोण…
One angle of a triangle is 15°more than its second angle. The third angle is 25°more than double the second angle. Find the three angles of the triangle.
Question 10
हिंदी तीन क्रमागत विषम संख्याएँ ज्ञात कीजिए जिनका…
Find three consecutive odd numbers when three times of their sum is 5 more than 8 times the middle number.
Question 11
हिंदी यदि किसी त्रिभुज की एक भुजा उसके…
If one side of a triangle is 1/4 of its perimeter, other side is 7 cm and third side is 2/5 of its perimeter, then find the perimeter of the triangle.
Question 12
हिंदी दो अंकों वाली संख्या के अंकों का…
Sum of the digits of a two-digit number is 8. The number obtained by interchanging the digits exceeds the original number by 18. Find the number.
Question 13
हिंदी विमला और सरिता की वर्तमान आयु का…
The ages of Vimla and Sarita are in the ratio of 7 : 5. Four years later, their ages will be in the ratio 4 : 3. Find their present ages.
Question 14
हिंदी अलका एक संख्या सोचती है उसमें 5…
Alka thinks of a number, she adds 5 to it. To this she adds double of the original number and then subtracts 10 from it to get 40. Find the number.
Question 15
हिंदी दो धनात्मक पूर्णांकों का अंतर 40 है।…
Difference between two positive integers is 40. The integers are in the ratio 2 : 3. Find the integers.
Question 16
हिंदी 5 के तीन क्रमागत गुणजों का योग…
Sum of three consecutive multiples of 5 is 555. Find these multiples.
Question 17
हिंदी रोहित की आयु प्रदीप की आयु के…
Age of Rohit is 5 more than twice of Pradeep’s age. 6 years ago, age of Pradeep was 1/3 of Rohit’s age. Find their present ages.
Question 18
हिंदी एक मोटर बोट नदी में अनुप्रवाह धारा…
A motor boat goes downstream in a river, covers the distance between two coastal towns in 5 hours. It covers the same distance upstream in 6 hours. If the speed of water is 2 km/h, find the speed of the motor boat in still water.