SOLUTION: the sum of the ages of two brothers is 24 years.in three years,times, the elder brother will be twice as old as younger brother.how old are the brothers?

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Question 142029: the sum of the ages of two brothers is 24 years.in three years,times, the elder brother will be twice as old as younger brother.how old are the brothers?
Answer by ankor@dixie-net.com(22740) (Show Source):
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Two brother, x & y
:
Write an equation for each statement:
;
"The sum of the ages of two brothers is 24 years."
x + y = 24
y = 24 - x; use for substitution
:
"In three years time, the elder brother will be twice as old as younger brother."
(x+3) = 2(y+3)
x + 3 = 2y + 6
x = 2y + 6 - 3
x = 2y + 3
:
how old are the brothers?
:
Substitute (24-x) for y
x = 2(24-x) + 3
x = 48 - 2x + 3
x + 2x = 51
3x = 51
x =
x = 17 yrs
then
24 - 17 = 7 yrs is y's age
;
:
Check solution in the statement:
In three years time, the elder brother will be twice as old as younger brother."
20 = 2(10)