Question 1170700: Nica's brother is now 3 times as old as she. In five years, his age will be twice hers. Find Nica's age now. Please provide an equation Answer by ikleyn(52787) (Show Source):
Let x be the Nica's age.
Then the brother's age is 3x years.
In 5 years, the brother's age will be (3x+5) years,
while the Nica's age will be x+5 years.
Therefore, the equation is
3x + 5 = 2*(x+5).
If you want to solve it, simplify
3x + 5 = 2x + 15
3x - 2x = 15 - 5
x = 5
Thus Nica is 5 years old now. The brother is 3*5 = 15 years old.