Question

16. The difference of two numbers is 3 and the

difference of their square is 69. Find the
numbers.​

Answer 1

Make a system of equations.

`x-y=3`

`x^2-y^2=69`

`x=y+3`

`(y^2+6y+9)-y^2=69`

`6y+9=69`

`6y=60`

`y=10`

`x=10+3`

`x=13`

`x=13,y=10`

Hope this helps.

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