SOLUTION: the square of my youngest child's age is 9 more then the product of 17 and the age of my oldest child. my oldest child is 3 years older than my youngest child. How old are my child

Question 772235: the square of my youngest child's age is 9 more then the product of 17 and the age of my oldest child. my oldest child is 3 years older than my youngest child. How old are my children?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= age of youngest child
= age of oldest child
So
= the square of the youngest child's age
= the product of 17 and the age of the oldest child
= 9 more then the product of 17 and the age of the oldest child
"The square of my youngest child's age is 9 more then the product of 17 and the age of my oldest child" translates as

"My oldest child is 3 years older than my youngest child" translates as

We need to solve the system

Substituting into the other equation we get
--> --> -->
That quadratic equation can be solved several ways.
For me, the easiest way is by factoring:
-->
The solutions are:
--> and
--> , which does not make sense, because no person can have a negative age.
From (and ), we get
-->

RELATED QUESTIONS
A man has three children. The oldest child is three times as old as the youngest. The... (answered by josgarithmetic)

The ages of three family children can be expressed as consecutive integers. The square... (answered by josgarithmetic)

The ages of three siblings are consecutive odd integers. The difference in the ages... (answered by stanbon,richwmiller)

The total age of three children is 40. The age of the oldest is twice the age of the... (answered by stanbon)

The Lee's have three children. The oldest is twice as old as the youngest. The middle... (answered by stanbon)

The ages of three children in a family can be expressed as consecutive integers. The... (answered by josmiceli)

The ages of three children in a family can be expressed as consecutive integers. The... (answered by josgarithmetic,addingup)

A girl is the eldest of 15 children and each child is exactly a year and a half apart.... (answered by Edwin McCravy)