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

Answer 2

Answer:

In 7 years

Step-by-step 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