Question

One number is 5 times another number. Their sum is 6. What are the numbers?

• A. 5 and 1
• B. 2 and 0
• C. 1 and 0
• D. 0 and 1

Answer 1

The correct option is A 5 and 1

Let the numbers be $x$ and $y$
As per the given statement form a first equation as,
$x=5y$ ----- (1)
Second equation as,
$x+y=6$ ---- (2)
By subtracting equation 1 and 2, we get
$x-5y=0$
$x+y=6$
___________
$-6y=-6$
$y=\frac{-6}{-6}=1$
Put the value of $y$ in equation (2)
$x+1=6$
$x=6-1$
$x=5$
Therefore, the numbers are 5 and 1.