In 1930, a person’s age was 8 times that of his shown. In 1938, the father's age became ten times that of his son’s age in 1930. The ages of the son and father in 1940 were respectively 

(a) 16 years, 58 years (b) 15 years, 50 years (c) 14 years, 42 years (d) 13 years, 34 years

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1 Answers

(c) Let son’s age in 1930 be x years

then father’s age in 1930 will be 8x years

In 1938, father’s age= (8x + 8) years

As per the question, 8x + 8 = 10x

∴                2x = 8

or               x = 4 years

Hence son’s age in 1930 = 4 years

Father’s age in 1930 = 8(4) = 32

Therefore, the age of son and father in 1940 will be 14

years and 42 years respectively

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