Answer:
Mary is 14 yrs old and her mother is 37 yrs old
Problem:
Mary mother is 23 years older than her. The product of their ages is 518. How old is Mary and her mother?
Given:
Mary's mother = x+23
Mary = x
Product = 518
Solution:
Equation will be (x)(x+23) = 518
Solving the equation , we get
- (x)(x+23) = 518
- x²+23x = 518
- x²+23x-518 = 0
- (x-14)(x+37) = 0
get the positive root
Then substitute the value of x to get their ages
Mary = x = 14 yrs old
Mary's mother = x+23 = 14+23 = 37 yrs old
Therefore , we got 14 yrs old and 37 yrs old
