If the ratio of the ages of son and father in 2014 and 2022 are 1:4 and 3:8 respectively, then the SUM of the ages of son and father in 2010 is

If the ratio of the ages of son and father in 2014 and 2022 are 1:4 and 3:8 respectively, then the SUM of the ages of son and father in 2010 is
A. 42
B. 43
C. 50
D. 45

Ans: A
Explanation:
2022-2014=8
1x+8 / 4x+8= 3x/8x
x+8/4x+8=3/8
8*(x+8)=3*(4x+8)
8x+64=12x+24
12x-8x=64-24
4x=40
x=10
There for SUM of ages of son and father in 2014 is X+4X=10+40=50
SUM of ages of son and father in "2010" is 50-(4+4)=42

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