Sum of present ages of mother and daughter is $50$. After $5$ years, mother will be twice as old as daughter…

Sum of present ages of mother and daughter is $50$. After $5$ years, mother will be twice as old as daughter. Daughter's present age is
  1. $15$
  2. $20$
  3. $10$
  4. $25$

Solution

$M + D = 50$. After 5 yrs: $M+5 = 2(D+5) \Rightarrow M = 2D+5$. Sub: $2D+5+D=50 \Rightarrow 3D=45 \Rightarrow D=15$.

Asked in: MH-SSC-9

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