Question

The difference of two natural numbers is 72. If we get 4 on dividing the bigger by the smaller number, find the numbers.

Solution

Let the bigger natural number be x. So, the smaller natural number will be x − 72. Therefore, x ÷ (x − 72) = 4 $\frac{x}{x-72}=4$  ⇒ x = 4 (x −72) ⇒ x = 4x − 288 ⇒ 3x = 288 ⇒ x = 96 The bigger number = x = 96 The smaller number = x − 72 = 96 − 72= 24 ∴ The bigger number is 96 and the smaller number is 24.MathematicsMathematics(2013)Standard VIII

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