SSC CGL 4 06 2019 Shift 1 Paper

Question : 54 of 100

Marks: +1, -0

The ratio of the ages of A and B, four years ago, was 4 : 5. Eight years from now, the ratio of the ages of A and B will be 11 : 13. What is the sum of their present ages ?

80 yrs
96 yrs
72 yrs
76 yrs

Validate

Solution:

Let present age of A and B be x & y years respectively.
∴ ATQ,

\ {x-4}/{y-4}=\ {4}/{5}

\& \ {x+8}/{y+8}=\ {11}/{13}

\⇒ 5 x-4 y=4

...(i)
&

13 x-11 y=-16

.....(ii)
Solving (i) & (ii) we get

x=36

yrs

\&\ y=44

yrs

\∴ (x+y)=80

yrs

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