Question

A number, increased by five is equivalent to twice the same number decreased by seven.

Answer 1

Answer:

If we let y represent the unknown number, then we can write the following based on the etxt:

y + 5 = 2y -7

If we subtract y from both sides of the equation to start its solution , then:

y + 5 - y = 2y -7 -y

This is equivalent to 5 = y - 7

Next add 7 to both sides of the equation:

5 + 7 = y -7 + 7

12 = y

The missing number is 12.

To check, 12 increased by 5 is 17 and 2* 12 -7 is also 17.