Question

Monique mother is 23 years older than Monique. The product of their ages is 518. How old are Monique and her mother?

Answer 1

Answer:

14 and 37

Step-by-step explanation:

$x-y =23\\xy=518$

x= mother's age

y= Monique's Age

$y=\frac{518}{x}$

$x=23+y$

$(23+y)y=518$

$23y+y^{2} =518$

$y^{2} +23y-518=0$

$(y-14)(y+37)=0$

$y=14$  monica is 14 years old

The mother: $x-y=23\\x-14=23\\x=23+14 = 37$

Hope this helps