Question

Ujjwal has $300$ toys. He gives $x$ toys to Sheetal and $y$ toys to Nancy Now, $3$ of them have toys in increasing $A.P$. Find the number of toys Sheetal has if she has $50$ more toys than Nancy.

• A. $100$
• B. $50$
• C. $150$
• D. $200$

Answer 1

Answer: (A)

$100$

Let the toys on ujjwal,Sheetal,Nancy are $w,x,y$ toys

Total Toys $=300$

ATQ :-

$x=y+50$

They are in A.P.

Therefore,

$\frac{w+y}{2}=x$

$\frac{w+x-50}{2}=x$

$w=x+50$

Now,

$w+x+y=300$

$x+50+x+x-50=300$

$x=100$

So, Sheetal has $100$ toys.