The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father's age five years ago?
The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father's age five years ago?
A 40 yr
B45 yr
C30 yr
D35 yr
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Correct answer is: 35 yr
Explanation:
Suppose the present age of Amit and his father is 2x and 5x respectively.
After 4 years the ratio of their ages,(2x+4):(5x+4)= 5:11
\(25x + 20 = 22x+44\)\(25x-22x=44-20\)
\(3x=24\)
\(x=8\)
Age of his father before 5 years
\(=5x-5\)
\(=5 \times 8 -5\)
\(= 40 - 5\)
= 35 yr
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