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Q.

3 years ago, the sum of the ages of a father and his son was 40 years. What will be the sum of the age of father and son after 2 years?


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a

17

b

24

c

46

d

50 

answer is D.

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Detailed Solution

Concept- Finding the age of father and his son by suppose their current age as variables.
Given: suppose father's age = x,
Son's age= y
Before three years, sum of ages,
x-3+y-3=  40
After two years,
s= x+2+y+2
Before three years, father = x-3, son = y-3 
 x-3+y-3=40
x+y-6=40
x+y=40+6
x+y=46
Age of father after two years = x+2
Age of son after two years = y+2
Sum of their ages,  x+2+y+2= s
x+y+4=s
s=46+4
s=50
Hence, the correct option is 4.
 
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