Question : Directions: The sum of Reena's and her father's age is 60 and the difference between their ages is 36. What is Reena's father's age?
Option 1: 58 years
Option 2: 60 years
Option 3: 48 years
Option 4: 52 years
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Correct Answer: 48 years
Solution :
Given:
Let the age of Reena = R
and the age of Reena's father = F
(I) The sum of Reena's and her father's age = R + F = 60
(II) The difference between their ages = F – R = 36
Add both the equations (I) and (II) we have
R + F + F + (–R) = 60 + 36
2F = 96; F = 48
Put the value of F in equation (I)
R + 48 = 60; R = 12
So, the age of Reena's father is 48 years. Hence, the third option is correct.
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