Question
Five years ago from now, age of 'A' was ____ years.
Ratio of present ages of 'A' and 'B' is ____ respectively and three years hence from now, sum of ages of 'A' and 'B' will be ____ years. The data given in which among the given options will fill the blank in the same order so as to make the statement true? I. 11, 2:3, 46 II. 16, 3:4, 55 III. 20, 5:7, 66Solution
Statement I:
Present age of 'A' = 11 + 5 = 16 years
Present age of 'B' = (3/2) × 16 = 24 years
Required sum = 16 + 3 + 24 + 3 = 46 years
So, statement I is true. Statement II:
Present age of 'A' = 16 + 5 = 21 years
Present age of 'B' = (4/3) × 21 = 28 years
Required sum = 21 + 3 + 28 + 3 = 55 years
So, statement II is true. Statement III:
Present age of 'A' = 20 + 5 = 25 years
Present age of 'B' = (7/5) × 25 = 35 years
Required sum = 25 + 3 + 35 + 3 = 66 years
So, statement III is true. Therefore, all statements I, II and III are true. Hence, option A .
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