a) 1 : 3
b) 3 : 1
c) 2 : 1
d) 4 : 1
Answer: b
Explanation: Let A’s age be 5x years, then B’s age = 3x years
$$\eqalign{
& \frac{{5x – 4}}{{3x + 4}} = \frac{1}{1} \cr
& 5x – 4 = 3x + 4 \cr
& 2x = 8 \cr
& x = 4 \cr
& \frac{{{\text{A’s age 4 years hence}}}}{{{\text{B’s age 4 years ago }}}} \cr
& = \frac{{5x + 4}}{{3x – 4}} \cr
& = \frac{{5 \times 4 + 4}}{{3 \times 4 – 4}} \cr
& = \frac{{24}}{8} \cr
& = \frac{3}{1} \cr
& = 3:1 \cr} $$
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