Latest Assessment Aptitude Question SOLUTION: Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

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(#M40157839) ASSESSMENT Category question Keep an EYE

Ten years ago, P was half of Q's age. If the ratio of their present ages is
3:4, what will be the total of their present ages?

Asked In Assessment Samjukta Das (7 years ago)

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Timsi Kataria  (7 years ago)

Answer is 35.

Let the age of Q 10 years ago be 'x'.
That is age of P 10 years ago is 'x/2'

Now Present age of P and Q are 'x/2+10' and 'x+10' respectively.

Ratio of present age of P and Q is:

(x/2+10)/(x+10)=3/4
i.e. 2(x+20)=3(x+10)
i.e. 2x+40=3x+30
i.e. x=10

Now Q's age 10 years ago is 10.
P's age 10 years ago is 5.

Present age of P and Q are 15 and 20 respectively.

Sum of the present age of P and Q is 15+20=35
Hence answer is 35.

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