ABC26GN3210 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

What is the present age of the mother? (M.A.T., 2007) I. Father's age is 8 years more than the mother's age. Father got married at the age of 28 years. II. Present age of the father is 30 years. Four years back the ratio of mother's age to father's age was 12 : 13.
Answer
SELF-PRACTICE — the source book printed no answer.

Nothing is invented here, so this question has no answer on record.

Explanation
I. Let mother's present age be $x$ years. Then, father's present age $=(x+8)$ years. II. Father's age 4 years back $=(30-4)$ years $=26$ years. Let the mother's and father's age 4 years back be $12x$ and $13x$ years respectively. Then, $13x=26$ or $x=2$. $\therefore$ Mother's present age $=[(12\times2)+4]$ years $=28$ years.

Explanation as extracted from the printed page; notation may be imperfect.

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