SOLUTION: Nicole is 1/3 as old as her sister. In five years, she will be 3/4 as old as her sister will be. Find their present ages. Show each step of your work.
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Question 1140352: Nicole is 1/3 as old as her sister. In five years, she will be 3/4 as old as her sister will be. Find their present ages. Show each step of your work. Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39620) (Show Source):
Let x be the Nicole present age.
Then the sister's age is 3x, according to the condition.
In five years Nicole will be (x+5); the sister will be (3x+5).
We are given
x + 5 = .
To solve the equation, multiply both sides by 4.
4x + 20 = 9x + 15
20 - 15 = 9x - 4x
5 = 5x
x = 5/5 = 1.
ANSWER. Nicole is 1 years old now; her sister is 3*1 = 3 years old.
CHECK. In 5 years Nicole will be 6 years old; the sister will be 8 years old.
6 = . ! Correct !
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