Question

Q. The sum of the ages of Kaveri and Chetan, 20 years, which will be equal to 2 times their present age. If at present Kaveri is 6 years older than Chetan, then what are their present ages?

• A. 20, 14
• B. 29, 12
• C. 18, 12
• D. 23, 17

Answer 1

The correct option is D 23, 17

Explanation:

Let the present ages of Kaveri and Chetan be $x$ years and $y$ years respectively.

As per the question,

$(x+20)+(y+20)=2(x+y)$

$x+y+40=2x+2y$

$x+y=40\dots ..\left(i\right)$

Also,

$y+6=x$

$x–y=6\dots ..\left(ii\right)$

Solving eqns (i) and (ii), we get

$x=23$ and $y=17$

Therefore, Present ages of Kaveri and Chetan is 23 years and 17 years respectively