SOLUTION: if tommy julie and linda's age all together is 64 and julie is twice as old as tommy and linda is 4 years older than tommy how old is each person

Algebra.Com
Question 1050407: if tommy julie and linda's age all together is 64 and julie is twice as old as tommy and linda is 4 years older than tommy how old is each person
Found 3 solutions by josgarithmetic, advanced_Learner, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Say the same thing using variables and equations.

t, Tommy
L, Linda
j, Julie



Make the easy substitutions for j and L INTO the age-summation equation, and first solve for t. Not the only way to go, but it is the easiest for this example.
Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
if tommy julie and linda's age all together is 64 and julie is twice as old as tommy and linda is 4 years older than tommy how old is each person

tommy is 15 years old.
julie is 30 years old
linda is 19
Answer by ikleyn(52798)   (Show Source): You can put this solution on YOUR website!
.
if tommy julie and linda's age all together is 64 and julie is twice as old as tommy and linda is 4 years older than tommy how old is each person
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Let T be Tommy's age.
Then Julie is 2T years old, 
and Linda is T + 4 years old.

The sum of their ages is

T + 2T + (T+4) = 64.

One equation for one unknown.
That is all they want from you.
Forget about three equations and three variables.
Focus on writing one equation in one unknown.

Now simplify and solve the equation:

4T = 60.

---> T = 15. Tommy is 15 years old.

Then Julie is 2*15 = 30 and Linda is 15+4 = 19.

Check.  15 + 30 + 19 = 64.

Answer. Tommy is 15, Linda is 19, Julie is 30 years old.


RELATED QUESTIONS

Julie is 4 times older than Aaron. In 10 years, Julie will be twice as old as Aaron.... (answered by checkley77)
Tommy is three years older than Jack. Sadie is seven less than twice Jack’s age. Sadie... (answered by greenestamps,ikleyn,MathLover1,josgarithmetic)
Tommy is twice as old as Billy. If in two years the sum of their age is 79. How old is... (answered by MrLarame)
How old are they if tommy was twice as old as Eric and James is three-quarters the age of (answered by jorel1380)
Jim, Carla and Tommy are all from one family. Carla is 5 years older than Jim. Tommy is... (answered by mananth)
Julie and her brother have a combined age of 27.julie is 7 years older than him.how old... (answered by richwmiller)
Ten years from now, Tommy will be 4 years older than twice his present age. How old is... (answered by nyc_function)
The sum of Annie’s age and Julie’s age is sixty. Julie is four times older than Annie.... (answered by TimothyLamb)
The Johnson family has three sons, Billy, Tommy and Bobby. Billy is as old as Tommy and... (answered by lwsshak3)