Question

The sum of two numbers is 90. The larger number is 6 more than 2 times the smaller number. Find the numbers.

• A. 62 and 29
• B. 58 and 20
• C. 62 and 28
• D. 60 and 25

Answer 1

Answer: (C)

62 and 28

Let the large number be $x$ and the small number be $y$
Then sum of two numbers $=x+y=90$ ----- (1)
The larger number is 7 more than 2 times the smaller number: $x=6+2y$ ------ (2)
Put the value of x in equation (1)
Then, $6+2y+y=90$
$3y=906$
$y=\frac{84}{3}=28$
Now substitute the value of $y$ in equation (1)
$x+28=90$
$x=9028$
$x=62$
Therefore the numbers are 62 and 28.