Question : Directions: The ratio of the father's age to the son's age is 5 : 2. If the product of their ages is 160, then what is the age of the father?
Option 1: 22
Option 2: 24
Option 3: 20
Option 4: 18
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Correct Answer: 20
Solution :
Given:
The ratio of the father's age to the son's age is 5 : 2.
The product of their age is 160.
Let the age of the father = 5X
And the age of the son = 2X
According to the question,
5X × 2X = 160
10X
2
= 160
X
2
= 160/10
X = 4
Therefore, the age of the son is 5 × 4 = 20. Hence, the third option is correct.
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