Question 1140352
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<pre>
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 = {{{(3/4)*(3x+5)}}}.


To solve the equation, multiply both sides by 4.


    4x + 20 = 9x + 15

    20 - 15 = 9x - 4x

    5       = 5x

    x = 5/5 = 1.


<U>ANSWER</U>.  Nicole is 1 years old now;  her sister is 3*1 = 3 years old.


<U>CHECK</U>.   In 5 years Nicole will be  6 years old;  the sister will be 8 years old.


            6 = {{{(3/4)*8}}}.     ! Correct !
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Solved.