Question

The difference of the ages of Ragu and Vimal is 21 years and the product of their age is 72 years. Find the ratio of the ages of Ragu and Vimal.
a)8:1 b)6:5 c)7:4 d)2:3​

Answer 1

Answer:

option ç

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Answer 2

Answer:

a) 8:1

Step-by-step explanation:

let x be the age of Ragu, and y be the age of Vimal.

$given \: that \: x - y = 21 ............(1) \\ xy = 72.......(2) \\ y = \frac{72}{x} \\ sub \: eqn \: (2) \: in \: (1) \: \\ x - \frac{72}{x} = 21 \\ {x}^{2} - 21x - 72 = 0 \\ (x - 24)( x + 3) = 0 \\ the \: value \: \: should \: not \: be \: in \: negative \\ so \: x = 24 \: \: and \: \: y = 3 \\ \frac{x}{y} = \frac{24}{3} \\ = \frac{8}{1}$