Question

11. Six times a certain number less 31 is the same as 10 subtracted from

Ehree times the number. Write the equation and find the number.

Answer 1

The number is 7

Explanation:

x - a certain number

6x - - six times the number

6x-31 - six times the number less 31

3x - three times the number

3x-10 - 10 subtracted from three times the number

so the equation:

6x - 31 = 3x - 10

+31 +31

6x = 3x + 21

-3x - 3x

3x = 21

÷3 ÷3

x = 7

Check: 6•7-31=42-31=11; 3•7-10=21-10=11