Question

The difference of two numbers is 45. The larger number is 5 more than 2 times the smaller number. Find the numbers

• A. 92 and 49
• B. 98 and 40
• C. 92 and 48
• D. 95 and 40

Answer 1

The correct option is D 95 and 40

Let the large number be $x$ and the small number be $y$
Then difference of two numbers $=x-y=45$ ----- (1)
The larger number is 5 more than 2 times the smaller number: $x=5+2y$ ------ (2)
Put the value of x in equation (1) Then,
$5+2y-y=45$
$y=45-5$
$y=40$
Now substitute the value of y in equation (1)
$x-40=45$
$x=45+40$
$x=95$
Therefore the numbers are $95$ and $40$.