Question

PLEASE HELP ASAP

Tyler has a sister who is three years older than he is and a brother who is two years younger than he is. How old must Tyler be in order that the ratio of his sister's age to his brother's age is less than 2.

Answer 1

Tyler must be more than 7 years old, so that the ratio of his sister's age to his brother's age is less than 2.

Solution-

Let's assume that,

Age of Tyler = x years, then

Age of his sister = (x+3) years and Age of his brother = (x-2) years

As given that the ratio of his sister's age to his brother's age must be less than 2, so

`\Rightarrow (x+3)/(x-2)<2`

`\Rightarrow x+3<2(x-2)`

`\Rightarrow x+3<2x-4`

`\Rightarrow 3+4<2x-x`

`\Rightarrow 7<x`

`\Rightarrow x>7`

Therefore, Tyler's age must be more than 7, in order to satisfy the condition.