Question

Kate is 17 years old, and Victor is 12 years younger. In how many years will Kate be twice as old as Victor?

Answer 1

In 7 years

Explanation:

Victors age: 17-12=5

Kate's age:17+7=24

Victors age:5+7=12

24 divided by 2 equals to 12.

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Check your answer

5+12=17

24-7=17

12-7=5

12*2=24

Answer 2

In 7 years

Explanation:

Let

n ----> the number of years

x -----> Kate's age

y ----> Victor's age

we know that

`(x+n)=2(y+n)`

we have

`x=17\\y=17-12=5\\`

Victor's age is 5

substitute the given values

`(17+n)=2(5+n)`

Solve for n

`17+n=10+2n`

`2n-n=17-10`

`n=7`

Verify

In 7 years

Kate's age is 17+7=24

Victor's age is 5+7=12

24=2(12)

so

Kate is twice as old as Victor