Question

10 more than the product of 9 and a number is 100. Find the number

Answer 1

Step-by-step explanation:

X + Y = 10

X*Y = 9

Subtract Y from both sides of the first equation to get X = 10 - Y, then substitute into second equation.

(10-Y)*Y = 9

10Y - Y^2 = 9 now simplify

0 = Y^2 - 10Y + 9

0 = (Y - 9)(Y - 1) so Y = 9 or 1 to make that statement true. You try one at a time by substituting into one of the original equations. Sometimes only one way works but as it turns out, 9 and 1 are the two numbers we are looking for.

Answer 2

Step-by-step explanation:

Given:-

10 more than the product of 9 and a number is 100

To find:-

The value of the unknown number

Solution:-

Let the number be x

9x+10= 100

9x= 100-10

9x= 90

x= 90/9

x= 10

Therefore The value of the another number is 10.