The sum of two numbers is 32. One of the numbers is 4 less than 5 times the other. How do you find the two numbers?

Oct 29, 2016

x=6 y=26

Explanation:

x+y=32 y=5x-4 x+(5x-4)=32 x+5x-4=32 6x=36 x=6 y=32-x y=32-6 y=26

Oct 29, 2016

Let x represent the unknown number.

Explanation:

$\left(5 x - 4\right) + x = 32$

$6 x - 4 = 32$

$6 x = 32 + 4$

$6 x = 36$

$x = 6$

Hence, one of the number is 6 and the other, since it is 4 less than 5 times the other, it would be

$\left(5 \cdot 6\right) - 4 = 26$

And the second number is 26.