john\'s mother is 23 yeas older than john. the product of their ages is 518. how old are john and his mother? Solution John\'s mother age = x John\'s age = y x - y = 23 --> x = y+23 xy = 518 --> (y+23)y = 518 --> y2 + 23y - 518 = 0 --> (y+37)(y-14) = 0 --> y = 14 --> x = 14 + 23 = 37 John is 14 and his mother is 37..

1. john's mother is 23 yeas older than john. the product of their ages is 518. how old are john and
his mother?
Solution
John's mother age = x
John's age = y
x - y = 23 --> x = y+23
xy = 518 --> (y+23)y = 518
--> y2 + 23y - 518 = 0
--> (y+37)(y-14) = 0
--> y = 14 --> x = 14 + 23 = 37
John is 14 and his mother is 37.