Question

Shreya’s age is 7 years more than two times Sarla’s age. If 3 years hence, Sarla’s age will be

19 years more than Shreya’s age then find their present ages.​

Answer 1

Answer:

Let Sarla's age be $x$

As Shreya's age is 7 years more than two times Sarla's age,

Shreya's age will be -

$2x + 7$

3 years hence,

Shreya's and Sarla's age will both increase by 3

Therefore,

Sarla's age = $x + 3$

Shreya's age = $2x + 10$

According to the question,

Three years hence, Shreya's age will be 19 years more than Sarla's age.

Therefore,

Sarla's age + 19 = Shreya's age (Three years hence)

$x + 3 + 19 <strong>=</strong><strong> </strong>2x + 10$

$x + 22 = 2x + 10$

$22 - 10 = 2x - x$

$\fbox{x \: = \: 12}$

Therefore,

Sarla's age = $x$ = 12

Shreya's age = $2x + 7$ = 31