Question

1. The present age of Shreya's mother is 4 times the age of Shreya. Aiter 6 years her mother's
age will be 2.5 times the age of Shreya. Find the present age of Shreya.​

Answer 1

$\huge{ \underline {\overline{ \mid{ \mathfrak{ \red{ \: SOLUTION \: } \mid}}}}}$

Suppose,

The present age of Shreya = x years.

So,

The present age of Shreya's mother = 4x years.

After 6 years

Shreya's age will be = (x+6) years.

And,

Shreya's mother's age will be = (4x+6) years.

It is given that,

After 6 years, Shreya's mother's age will be 2.5 times of her age.

$\bold{ \huge{ \underline{ \: \: A.T.Q. \: \: }}}$

$\bold{ \: \: \: 4x+6 = 2.5 \times (x + 6)} \\ \\ \bold {= >4x + 6 = 2.5x + 15 } \\ \\ \bold {= > 4x - 2.5x = 15 - 6} \\ \\ \bold {= >1.5 x= 9 } \\ \\ \bold {= > x = \frac{9}{1.5} } \\ \\ \bold{ \: \: \: \: \therefore \: \: \underline{ \: \: x = 6 \: \: }}$

$\bold{Hence, } \\ \bold{ \: \: \: \: \: Present \: \: age \: \: of \: \: Shreya \: \: is \: \: 6 \: \: years.}$