The difference of two positive numbers is 72 and when one is divided by the other, the dividend is 4. Choose the numbers—

Explanation

Let, the two number be a and b respectively, According to question, a–b = 72 ........ (i) $$ \frac{a}{b} = 4 $$ According to question, a = 4 b ............. (ii) Substituting the value of eqⁿ (i) in equation (ii) 4b – b = 72 $$ b = \frac{72}{3} = 24 $$ ∴ a = 24 × 4 = 96 So, the number are 24 and 96.