Question

13
Sum of the present ages of Insu and Komal is 29 years. If Insu is younger and the
difference of their ages 3 years ago was 5 years, find their ages 2 years from now.
12​

Answer 1

Answer:

Given,

Sum of the Present Ages of Insu and Komal is 29 Years.

Insu is younger than Komal

Difference of their Age 3 years ago is 5 Years.

To Find :-

Ages of Insu and Komal after 2 years.

Solution:-

Let the Present Ages of

Insu be 'x'

Komal be 'y'

1) Sum of the Present Ages of Insu and Komal is 29 Years.

i.e

x + y = 29 years.  [let it be equation - (1)]

2) Insu is younger than Komal

x<y

3) Difference of their age 3 years ago is 5 Years.

3years ago ages of :-

Insu = x - 3

Komal = y - 3

As, Insu is younger than Komal :-

y - 3 - [x - 3] = 5years

y - 3 - x + 3 = 5years

y - x = 5years. [let it be equation - (2)]

Adding equation 1 and 2 :-

x + y + y - x = 29years + 5years

2y = 34years

$y = \frac{34\: years}{2}$

y = 17years

Substituting value of y in equation - (1) :-

x + y = 29 years

17years + x = 29years

x = 29years - 17years

x = 12years

$\sf\therefore$ x = Age of Insu = 12years

y = Age of Komal = 17years.

After 2 years ages of :-

Insu = x + 2 = 12years + 2 = 14Years.

Komali = y + 2 = 17years + 2 = 19Years.

$\sf\therefore$ Ages of Insu and Komal after 2 years from now = 14years,19years

Answer 2

Answer:

Isnu 14 years

Komal 19 years