SOLUTION: Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each daug

Question 175799: Dad's age is equal to the sum of Laura's, Jeri's and Theresa's ages. If Jeri is 4 years older than Theresa and 3 years younger than Laura, and Dad's age is 38, how old is each daughter?
Found 2 solutions by EMStelley, josmiceli:
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
Let's start by declaring variables
D - dad's age
L - laura's age
J - jeri's age
T - theresa's age
The first statement tells us that D = L + J + T
Jeri being 4 years older than Theresa gives us
J = T + 4
Jeri being 3 years younger than Laura gives us
J = L - 3
So notice that the common variable in these two equations is J. So if we can represent every girls age in terms of Jeri's, we will be down to one variable. So
T = J - 4
L = J + 3
Now, we can rewrite the original equation using only J's
38 = (J + 3) + J + (J - 4)
38 = 3J - 1
39 = 3J
13 = J
So Jeri is 13, and thus Theresa is 9 and Laura is 16.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Laula's age
Let = Jeri's age
Let = Theresa's age
Let = Dad's age
----------
Given:
(1)
(2)
(3)
(4)
-----------
From (3)

From (4)

Now substitute these into (2)
(2)
(2)

and, since

also,

Laura is 16, Jeri is 13, and Theresa is 9
check:
(2)

OK
RELATED QUESTIONS
Matthew's dad is 3 years less than 4 times his son's age. The sum of mother's age and his (answered by ikleyn)
The sum of Amy's age and Debbie's age is 65. If Amy is five years older than Debbie,... (answered by josgarithmetic)
The product of the ages of Adu and Tanko is 9 less than Akorfa's age. If Tanko is 4 years (answered by Edwin McCravy,ikleyn,greenestamps,mccravyedwin)
Dave is half older than his mom, his mom is five years older than Dave. Dave 's age ,his... (answered by ikleyn)
laura is 3 years older than twice joseph�s age. of laura is 27 years old how old is... (answered by josgarithmetic)
laura is 6 years older than theresa, In 2 years laura will be twice as old as... (answered by ankor@dixie-net.com)
The ratio of johm�s ages to his sons age is 8:3 . if the sum of their ages is 55 years ,... (answered by ankor@dixie-net.com)
Chloe is 5 years older than Mia and Emma is triple Chloe’s age. Double the sum of... (answered by josgarithmetic)
Theresa is 4 years older than Teresita. In 5 years the sum of their ages will be 48.Find... (answered by Cromlix)