Vera and Vikki

Algebra Level pending

Vera and Vikki are sisters. Vera is 4 years old and Vikki is 13 years old. What will be Vikki's age when she is twice as old as Vera?

16 22 14 20 18

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2 solutions

Tom Engelsman
Mar 4, 2021

Let t t be the number of years until Vikki is twice Vera's age. We require:

13 + t = 2 ( 4 + t ) t = 5 13+t = 2(4+t) \Rightarrow t = 5

which will make Vikki 18 \boxed{18} years-old.

Aditya Mittal
Apr 7, 2021

Let the current age of Vera be 'y' years.

Vikki’s age = y + 9 \therefore \text{Vikki's age} = y+9

A T Q A\cdot T\cdot Q \cdot

y + 9 = 2 y y+9 = 2y

y + 9 y = 2 y y y+9-y = 2y-y

9 = y 9 = y

Vera's age when Vikki's age is twice her age = 9

Vikki's age = 18

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