Question

A and B both have some pencils.If A gives 10 pencils to B, then B will have twice as many as A. And if B gives 10 pencils to A, then they will have the same number of pencils. How many pencils does each has?

• A. $A=40$ and $B=32$
• B. $A=60$ and $B=30$
• C. $A=50$ and $B=70$
• D. $A=20$ and $B=50$

Answer 1

Answer: (C)

$A=50$ and $B=70$

Let the present numbers be $x$ and $y$

$2(x+10)=y-10;y+10=x-10;x=y+20$

$\therefore 2(y+20+10)=y-10;y=50x=70$