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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
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B
29, 12
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C
18, 12
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D
23, 17
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Solution

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..(i)

Also,

y+6=x

xy=6..(ii)

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


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