Question
Three years ago from now, age of 'A' was ____ years.
Ratio of present ages of 'A' and 'B' is ____ respectively and two 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. 15, 3:4, 46 II. 17, 4:5, 60 III. 18, 3:5, 60Solution
Statement I:
Present age of 'A' = 15 + 3 = 18 years
Present age of 'B' = (4/3) × 18 = 24 years
Required sum = 18 + 2 + 24 + 2 = 46 years
So, statement I is true. Statement II:
Present age of 'A' = 17 + 3 = 20 years
Present age of 'B' = (5/4) × 20 = 25 years
Required sum = 20 + 2 + 25 + 2 = 49 years
So, statement II is not true. Statement III:
Present age of 'A' = 18 + 3 = 21 years
Present age of 'B' = (5/3) × 21 = 35 years
Required sum = 21 + 2 + 35 + 2 = 60 years
So, statement III is true. Therefore, both statements I and III are true. Hence, option B .
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