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.

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): You can put this solution on YOUR website!
x, Nicole
3x, her sister

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--------Nicole
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-------sister
Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.

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 !

Solved.

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