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

Answer:

In 7 years

Step-by-step 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