SOLUTION: Serena's father is twenty-six years older than serena. In ten years, the sum of the ages will be eighty. What are their present ages? Please Help Thank you.

Question 536667: Serena's father is twenty-six years older than serena. In ten years, the sum of the ages will be eighty. What are their present ages? Please Help Thank you.
Found 2 solutions by algebrahouse.com, richwmiller:
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"Serena's father is twenty-six years older than serena. In ten years, the sum of the ages will be eighty. What are their present ages?"

x = Serena's age now
x + 26 = father's age now

x + 10 = Serena's age in 10 years
x + 36 = father's age in 10 years {added 10 on to each one}

x + 10 + x + 36 = 80 {in ten years the sum of the ages will be 80}
2x + 46 = 80 {combined like terms}
2x = 34 {subtracted 46 from both sides}
x = 17 {divided both sides by 2}
x + 26 = 43 {substituted 17, in for x, into x + 26}

Serena is 17
her father is 43

For more help from me, visit: www.algebrahouse.com

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
s+26+10+s+10=80
2s+26=60
s+13=30
s=17
s+26=43
RELATED QUESTIONS
Dawi's father is 26 years older than him. In 10 years, the sum of their ages will be 80.... (answered by Alan3354)
Johns father is three times older than john. In six years the sum of their ages will be... (answered by josgarithmetic)
A father is 24 years older than his son. In 7 years, the son's age will be 2/5 that of... (answered by lwsshak3)
A father is 24 years older than his son. In 7 years, the son's age will be 2/5 that of... (answered by TimothyLamb)
Father is 15 years older than his son in three years to come the sum of their ages will... (answered by Alan3354)
This year, serena is one-seventh of her cousin's age. Two years from now, serena will be (answered by Alan3354)
greg's father is 30 years older than greg. In 15 years, the sum of their ages willbe 130. (answered by jojo14344)
Joanne is 22 years older than her daughter. In six years the sum of their ages will be... (answered by savvyhush23)
Andy is 5 years older than Chris in 3 years the sum of their ages will be 35. what are... (answered by aaronwiz)