SOLUTION: X is 5 years older than y. Z is 6 years older than x. How old are each person if the sum of their aget is 31?

Algebra.Com
Question 1034930: X is 5 years older than y. Z is 6 years older than x. How old are each person if the sum of their aget is 31?
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
X is 5 years older than Y.
X = Y+5
Z is 6 years older than X.
Z = X+6
...the sum of their ages is 31...
X+Y+Z = 31

First substitute (Y+5) for X in Z = X+6
and simplify.

Then substitute (Y+5) for X and Z = (what you got)
into X+Y+Z = 31 and solve for Y.

Then substitute that value for Y in X = Y+5 to
find X.

Then substitute what you got for X in Z = X+6
to find Z.

I won't tell you the answers but one of them is
twice as old as another of them.

Edwin
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
X is 5 years older than Y. Z is 6 years older than X. How old are each person if the sum of their ages is 31?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let "y" is the age of the person Y.

Then the age of X is (y+5), and the age of Z is (y+5)+6, according to the condition.

The sum of ages is y + (y+5) + ((y+5)+6) = 3y + 16, and it is equal to 31.

So you have this equation

3y + 16 = 31.

Solve it for "y" and get the answer.

Should I explain more or you just can to complete it yourself?


RELATED QUESTIONS

Jim ,Carla and Tommy are members of the same family.Carla is 5 years older than Jim.Tommy (answered by macston)
Renee is 5 years older than Paulo, she is also 7 years older than Peter. The sum of their (answered by mamiya)
Preet is 5 years older than Ben. She is also 7 years older than Jessy. The sum of their... (answered by wangsol)
barbra is 5 years older than Roxanne. in 6 years, the sum of their ages will be 35 years... (answered by stanbon)
Vicky is 5 years older than Pam. If the sum of their ages is 67 years, how old is... (answered by ankor@dixie-net.com)
Cindy is 5 years older than Tom. In 6 years, the sum of their ages will be 35 years. How... (answered by stanbon)
Larry is 5 years older than Mark and Andrew is 6 years older than twice Larry’s age.... (answered by ewatrrr,josgarithmetic)
Albert is 19 years older than Pat. The sum of their ages is 31. How old are... (answered by TimothyLamb,algebrahouse.com)
Ariel is 2 years older than twice Juan's age and Felix is 6 years older than Juan. If the (answered by stanbon)