Answer to Question #16970 in Algebra for bluerose

Mich is X years old, Anne is Y years old.Mich is 10 times older than her daughter Anne: X = 10 * Y.
In five years, the product of her age and Anne's age was 175 years:
(X + 5) * (Y + 5) = 175.
(10 * Y + 5) * (Y + 5) = 17510 * Y^2 + 5 * Y + 10 * Y * 5 + 5 * 5 = 175
10 * Y^2 + 55 * Y + 25 = 175
2 * Y^2 + 11 * Y + 5 = 352 * Y^2 + 11 * Y - 30 = 0
Y = { -11 ± Sq Root ( 121 + 240 ) } / 4 = {2, - 7.5}
At present, Anne is 2 years old and Mich is 10 * 2 = 20 years old.