SOLUTION: Apple, Lea and Sarah are siblings. Apple is turning 12 next year. Lea's age in 8 year plus Sarah's age in 3 years is equal to four times Apple's age next year. What is the some of
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Question 1202759: Apple, Lea and Sarah are siblings. Apple is turning 12 next year. Lea's age in 8 year plus Sarah's age in 3 years is equal to four times Apple's age next year. What is the some of their ages in six years. Found 2 solutions by ikleyn, josgarithmetic:Answer by ikleyn(52792) (Show Source):
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Apple, Lea and Sarah are siblings. Apple is turning 12 next year.
Lea's age in 8 year plus Sarah's age in 3 years is equal to four times Apple's age next year.
What is the SUM of their ages in six years.
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Since "Apple is turning 12 next year" (given), Apple's age is 11 years now.
So, we write A = 11.
Lea's age in 8 years will be (L+8) years.
Sarah's age in 3 years will be (S+3) years.
Since "Lea's age in 8 year plus Sarah's age in 3 years is equal to four times
Apple's age next year", we can write this equation
(L+8) + (S+3) = 4*12,
which implies
L + S = 48 - 8 - 3 = 37 years.
Then the sum of the ages of the three siblings this year is
A + L + S = = A + (L + S) = 11 + 37 = 48 years.
In 6 years later, the sum of their ages will be
48 + 3*6 = 48 + 18 = 66 years.
ANSWER. The sum of their ages in six years will be 66 years.
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