SOLUTION: Pedro is five less than three times as old as his sister Sofia. John is twice as old as Pedro. Together their ages add up to 45. Which of these could represent Pedro's, Sofia's, or

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Question 1177225: Pedro is five less than three times as old as his sister Sofia. John is twice as old as Pedro. Together their ages add up to 45. Which of these could represent Pedro's, Sofia's, or John's age.

Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

Pedro is five less than three times as old as his sister Sofia. John is twice as old as Pedro. Together their ages add up to 45. Which of these could represent Pedro's, Sofia's, or John's age.
Pedro is five less than three times as old as his sister Sofia
p= 3s-5
John is twice as old as Pedro.
j=2p
therefore j= 2(3s-5)= 6s-10
Together their ages add up to 45.
j+p+s=45
substitute j & p
6s-10+3s-5 +s=45
10s = 60
s=6
p= 13
j=2p
j=26

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Pedro, Sofia, and John ---
PEDRO             3x-5

SOFIA               x

JOHN             2(3x-5)

TOTAL_SUM           45