Question

10. One number is twenty more than eight times another number. The sum of the

numbers is eleven. Find the two numbers.

Answer 1

the two numbers are 12 and -1.

Explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

-9 = 9y

divide through by 9 to have,

y = -1

Substitute the value of y in equation 3,

x = 11 - (-1)

= 11 + 1

= 12

x = 12

x = 12, y = -1

The two numbers are 12 and -1.