Sum of ages of A and B is $40$ years. A is $4$ years older than B. Age of A is

Sum of ages of A and B is $40$ years. A is $4$ years older than B. Age of A is
  1. $22$
  2. $18$
  3. $20$
  4. $16$

Solution

B $= x$, A $= x + 4$. $2x + 4 = 40 \Rightarrow x = 18$. So A $= 22$.

Asked in: IMO

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