Question

Mansi is 2 years older than her sister. After 10 years, the sum of their ages will be 40 years. find their present age.​

Answer 1

Let Mansi sister age be $x$

Mansi age will be $x+2$.

After $10$ years their ages will be $x+10$ and $x+2+10$.

Given sum of their ages after $10$ years is $40$

$x+10+x+12=40$

$2x+22=40$

$2x=40-22$

$2x=18$

$x=9$

Mansi sister age is $9$ years.

and Mansi age is $x+2$

$x+2=9+2$

Mansi age is $11$ years.

Therefore, Mansi sister age is $9$ years, and Mansi age is $11$ years.

Answer 2

Answer:

$11$ years

Step-by-step explanation:

Given data,

Mansi is $2$ years older than her sister

After $10$ years, the sum of their ages will be $40$ years

Let the age of Mansi $x$ years

then, the age of her sister will be $x-2$ years

Sum of their ages after $10$ years

$x+10+x-2+10=40$

$\Rightarrow 2x+18=40$

$\Rightarrow 2x=22$

$\Rightarrow x=11$

Hence,

Present age of Mansi $=11$ years

Present age of her sister $=11-2=9$ years