a) 15 years
b) 23 years
c) 19 years
d) 27 years
Answer: b
Explanation: Let the age of the son and the daughter of Poorvi be 6a years and 7a years respectively.
5 years hence, present age of son = 6a – 5 and present age of daughter = 7a – 5
Eight years ago, the age of Poorvi = 6a – 5 + 7a – 5 = 13a – 10
So, present age of Poorvi = 13a – 10 + 8 = 13a – 2
Since, present age of Poorvi husband = 3 (6a – 5)
The difference of present age of Poorvi husband and Poorvi = 7 (Given)
$$\eqalign{
& {\text{3}}\left( {6a – 5} \right) – \left( {13a – 2} \right) = 7 \cr
& 18a – 15 – 13a + 2 = 7 \cr
& 5a = 20 \cr
& a = 4 \cr} $$
The present age of daughter
= (7a – 5)
= 7 × 4 – 5
= 23 years
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