Practice30Create account

A school library has 4 times as many Hindi books as Marathi books, and 120 more Hindi books than Marathi ones. How many Marathi books does it have?

Class 7Simple EquationsSimple Equations
  • A24
  • B40
  • C30
  • D160

Step-by-Step Solution

Let the Marathi books be m, so the Hindi books are 4m. '120 more' is a difference, not a total: 4m − m = 120 → 3m = 120 → m = 40, giving 160 Hindi books, and 160 − 40 = 120 ✓. Answer 24 reads 'more' as a sum (5m = 120); 30 divides by 4 instead of by 3; 160 is the Hindi count, not the Marathi one the question asks for.
Answer: B) 40

Key idea: Translating word problems into equations

Three steps:
1. **Pick a variable** for the unknown ('let be the number of …').
2. **Translate the words into an equation** using the operations the problem describes.
3. **Solve and answer in the original units.**

Example: 'Three times a number plus 7 equals 22. Find the number.'
Let = the number. Equation: . Solve: .
Answer: the number is 5.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Simple Equations practice questions

More Class 7 Simple Equations practice

Three of these equations are satisfied by x = 3. Which one is NOT?The equation 7 = 2x − 5 is rewritten as 2x − 5 = 7. What effect does swapping the two…Deepa thinks of a number, multiplies it by 6, subtracts 9 from the product and gets 45.…₹1,260 is divided between Asif and Bilal so that Asif receives ₹180 more than Bilal. How…Two complementary angles measure (x + 14)° and (3x − 4)°. Find the larger angle.