Question

Radha is 19years younger than her cousin. After 5 years their age wii be in ratio 2:3find there present age

Answer 1

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Answer 2

Step-by-step explanation:

$Let \: \: Radha's \: \: age \: \: be : x \\ Her \: \: cousin's \: \: age : x + 19 \\ \\ After \: \: 5 \: \: years \\ Radha's \: \: age \: \: is : x + 5 \\ Her \: \: cousin's \: \: age :x + 19 + 5 = x + 24 \\ \\ x + 5 : x + 24 = 2 : 3 \\ \frac{x + 5}{x + 24} = \frac{2}{3} \\ 3(x + 5) = 2(x + 24) \\ 3x + 15 = 2x + 48 \\ 3x - 2x = 48 - 15 \\ x = \underline{ \underline{ 33}} \\ \\ Their \: \: Present \: \: Age \: \: is : \\ Radha's \: \: age : Radha's \: \: cousin's \: \: age \\ x + 5 : x + 24 \\ 33 + 5 : 33 + 24 \\ 38 : 57 \\ \underline{ \underline{ 2 : 3}}$