# A certain number decreased by 4 is equal to 8 increased by the quotient of the same number and 5 What is the number?

x-4=8+x/5 5(x-4)=5(8+x/5) 5x-20=8+x 4x=28 x=7

### What number can be increased or decreased by 10 and you will still have a square number?

"Still" implies that the original number is a square number. In that case, the answer is as follows: There is no number such that it is a perfect sqiuare and that the number increased (or decreased) by 10 is also a perfect square. And if you do not limit it to perfect square then every non-negative number is a square with the number that is 10 more also being a square.