SOLUTION: Laura is four years less than twice her son's age. The sum of their ages is 119. How old is Laura? How old is her son?

Algebra.Com
Question 1061388: Laura is four years less than twice her son's age. The sum of their ages is 119. How old is Laura? How old is her son?
Found 3 solutions by ikleyn, HelpfulBro, MathTherapy:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Laura is four years less than twice her son's age. The sum of their ages is 119. How old is Laura? How old is her son?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

L = 2S - 4,   (1)
L + S = 119.  (2)

From (1), substitute L = 2S - 4 into (2), replacing L. You will get

(2S-4) + S = 119.

3S = 119 + 4 = 123.


S = 41.              (son)

L = 2*41 - 4 = 78.   (Lora)


Answer by HelpfulBro(2)   (Show Source): You can put this solution on YOUR website!
We give representations:
let l be the age of Laura
let s be the age of Laura's son
According to the problem, Laura is four years less than twice her son's age
we write that as l = 2*s - 4 (we let this be equation 1)
It also says there that The sum of their ages is 119:
l + s = 119 (we let this be equation 2)
What we do now is to use equation one in equation two (substitution)
l + s = 119
(2*s - 4) + s= 119
3*s = 119 + 4
3*s = 123
s = 41
So, the son's age is 41. Now we solve for Laura's age using equation 1
l = 2*s - 4
l = 2*41 - 4
l = 82 - 4
l = 78
Laura's age is 78.
To check if we got it right,
l+s = 119
41 + 78 = 119
119 = 119



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Laura is four years less than twice her son's age. The sum of their ages is 119. How old is Laura? How old is her son?
Let son's age, be S
Then Laura's age is: 2S - 4
We then get the following SUM-OF-AGES equation: S + 2S - 4 = 119
3S = 119 + 4
3S = 123
S, or son is:
RELATED QUESTIONS

laura is 3 years older than twice joseph’s age. of laura is 27 years old how old is... (answered by josgarithmetic)
A women's age is three years more than twice her sons age. The sum of their ages is 84.... (answered by ewatrrr)
Ann is six years more than four times her son Trevor's age. If the sum of their ages is... (answered by AnlytcPhil)
A 32 year old women realized that her age is twice the sum of her two children’s ages.... (answered by ikleyn)
Mrs Thompson has a son and daughter. She is twice as old as her son and her son is twice... (answered by josgarithmetic,ikleyn,MathTherapy)
a woman's age is three times more than twice her sons age, the sum of their ages is 84.... (answered by harshil1717,macston,MathTherapy)
A mother is 15 years older than her son. The mother's age is 5 years more than twice her... (answered by ewatrrr,josgarithmetic)
Mary is 24 years older than her son John. The sum of their ages is 40. How old is John? (answered by rfer,Alan3354)
laura is 3 years older than twice joseph's age If Laura is 27 years old how old is Joseph (answered by josgarithmetic)