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.
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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}
