SOLUTION: Harold was 5 years older than phidella. In 10 years he found that 4 times his age exceeded twice phidella's age by only 50. How old were Harold and Phidella in the beginning?
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Question 67795This question is from textbook An Incremental Development
: Harold was 5 years older than phidella. In 10 years he found that 4 times his age exceeded twice phidella's age by only 50. How old were Harold and Phidella in the beginning? This question is from textbook An Incremental Development
You can put this solution on YOUR website! Write a simple equation for each statement
:
Harold was 5 years older than phidella.
H = P + 5
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In 10 years he found that 4 times his age exceeded twice phidella's age by only 50. (Remember their ages are now (H+10) and (P+10))
:
4(H + 10) = 2(P+10) + 50
:
4H + 40 = 2P + 20 + 50
4H + 40 = 2P + 70
4H = 2P + 70 - 40
4H = 2P + 30
:
How old were Harold and Phidella in the beginning?
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Substitute (P+5) for H in the above equation and solve for P
4(P+5) = 2P + 30
4P + 20 = 2P + 30
4P - 2P = 30 - 20
2P = 10
P = 5 years old
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That makes H, 10 yrs old
:
:
Test our answers in the statement:
"In 10 years he found that 4 times his age exceeded twice phidella's age by only
50." (H is now 20 and P is 15)
:
4(20) = 2(15) + 50
