SOLUTION: a boy is three years older than his sister.the sum of their square ages is 369.how old are they

Algebra.Com
Question 714844: a boy is three years older than his sister.the sum of their square ages is 369.how old are they
Found 3 solutions by lynnlo, JAE96, Alan3354:
Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
20&23
Answer by JAE96(1)   (Show Source): You can put this solution on YOUR website!
369= (x+3)+ (x)
369= (2x + 3)
369 - 3 = 2x +3 -3
366/2=2x/2
183 = x (The sister's age)
183+3 = 186(The Brother's age)
Plug it back in...
369 (186)+(183)
369=369

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
a boy is three years older than his sister.the sum of their square ages is 369.how old are they
-----------------



(x - 15)*(x + 18) = 0
x = 15
--> 15 & 18
---------------
Ignore the negative solution.

RELATED QUESTIONS

a boy is five years older than his sister. if the sum of their ages is 31. how old is... (answered by stanbon,Kalmetam)
The difference in ages between a boy and his younger brother is 6years.the younger... (answered by ankor@dixie-net.com,MathTherapy,josgarithmetic)
A boy is y years old. His father is 31 years older than he is. The boy has a sister who... (answered by ikleyn)
Billy is three years older than his sister Anne. Together, the sum of their ages is 25.... (answered by josgarithmetic)
Jack is 5 years older than his sister. Fifteen years from now the sum of their ages will... (answered by josgarithmetic)
A man is 20 years older than his son,the sum of their ages are 50. How old are... (answered by algebrahouse.com)
Jack is 5 years older than his sister. The sum of their ages is 21. How old are Jack and... (answered by ikleyn)
a man is 5 times as old as his daughter. the man's son is 2 years older than his sister.... (answered by lwsshak3)
A boy is two years more than twice as old as his mother. The sum of their ages is nine... (answered by macston,josgarithmetic,MathTherapy)