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. 10, 3:5, 46 II. 15, 2:3, 56 III. 11, 4:5, 48Solution
Statement I:
Present age of 'A' = 10 + 5 = 15 years
Present age of 'B' = (5/3) × 15 = 25 years
Required sum = 15 + 3 + 25 + 3 = 46 years
So, statement I is true. Statement II:
Present age of 'A' = 15 + 5 = 20 years
Present age of 'B' = (3/2) × 20 = 30 years
Required sum = 20 + 3 + 30 + 3 = 56 years
So, statement II is true. Statement III:
Present age of 'A' = 11 + 5 = 16 years
Present age of 'B' = (5/4) × 16 = 20 years
Required sum = 16 + 3 + 20 + 3 = 42 years
So, statement III is not true. Therefore, both statements I and II are true. Hence, option D .
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