Question 32
The average age of three men is 50 years and their ages are in the proportion 3:5:7 respectively. Determine the age of the youngest man in the group?
Solution
Let the age of 3 men be 3$$x$$, 5$$x$$ and 7$$x$$ years.
Average age of these 3 men = $$\dfrac{3x+5x+7x}{3}=5x$$
Average age of these 3 men = 50 years (given)
$$5x=50$$
$$x=10$$
The age of the youngest man = 3$$x$$ = $$\left(3\times10\right)=30$$ years
Option D.
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