SOLUTION: Bob was born 2 years after Clark and 2 years before Henry. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In what years were they born?

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Question 133814: Bob was born 2 years after Clark and 2 years before Henry. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In what years were they born?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Bob was born 2 years after Clark and 2 years before Henry. In 1951, after all three of them had their birthdays, the sum of their ages was 144. In what years were they born?
:
Let x = Bob's age in 1951
Then
(x+2) = Clark's age
and
(x-2) = Henry's age
:
"In 1951, after all three of them had their birthdays, the sum of their ages was 144."
x + (x+2) + (x-2) = 144
3x = 144
x = 144/3
x = 48; Bob's age in 1951; born in 1903
and
Clark's age = 50; born in 1901
and
Henry's age = 46; born in 1905
:
Check using their ages in 1951
48 + 50 + 46 = 144