Namya got married 6 years ago. Now her age is $ 1\frac{1}{4}$ times her age at the time of marriage. Her son's

Question

Namya got married 6 years ago. Now her age is $ 1\frac{1}{4}$ times her age at the time of marriage. Her son's present age is one-fifth of her present age. Find her son's present age.

Examoogle · Accepted Answer

The correct answer is Option C: 6 years. Since the age increased by $1/4$ ($1.25 - 1 = 0.25$) in 6 years, $0.25 	imes m = 6$, so $m = 24$. Current age $x = 24 + 6 = 30$. Son's age $= 30 / 5 = 6$.

Step-by-Step Solution & Concepts:
Shortcut Trick: Since the age increased by $1/4$ ($1.25 - 1 = 0.25$) in 6 years, $0.25 	imes m = 6$, so $m = 24$. Current age $x = 24 + 6 = 30$. Son's age $= 30 / 5 = 6$.

Formula Used: $$x = \frac{5}{4}m$$

Given: Namya married 6 years ago. Current age = 1.25 times age at marriage. Son's age = 1/5 of current age.

Steps: Define Variables: Let Namya's age at marriage be $m$ and her present age be $x$.. Formulate Equation: Given $x = 1\frac{1}{4}m$, which is $x = 1.25m$ or $x = \frac{5}{4}m$.. Solve for m: Subtracting $m$ from both sides: $\frac{1}{4}m = 6$, so $m = 24$.. Calculate Current Age: Present age $x = m + 6 = 24 + 6 = 30$.. Determine Son's Age: Son's age is $\frac{1}{5}$ of her present age: $\frac{30}{5} = 6$.

Answer: C is correct because Namya's present age is 30 years and one-fifth of that is 6 years.

Exam Tip: This approach is standard for all 'age gap' problems in competitive exams; always represent the past/future as a function of the current age variable.

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