Question

The sum of the integers p and q is $495$. If p is divided by 10, the result is equal to q. What is the value of p?

• A. $50$
• B. $45$
• C. $245$
• D. $250$
• E. $450$

Answer 1

The correct option is E $450$

Given,
Sum of p and q is 495
$p+q=495$.....................eq(1)
if p is divided by 10 result is equal to q
$\frac{p}{10}=q$
$p=10q$.....................................eq(2)
putting $p=10q$ in equation 1
$10q+q=495$
$11q=495$
$q=\frac{495}{11}=45$
Putting $q=45$ in equation (1)
$p+45=495$
$p=495-45=450$