Question

Ben is 5 years older than Violet. After eight years, Ben's age will be 1.2 times of Violet's age at that time. How old will Violet be 10 years from now?

Answer 1

Answer:

In 10 years from now Violet's age will be 27 years old

Step-by-step explanation:

Let

x ----> Ben's age

y ---> Violet's age

we know that

Ben is 5 years older than Violet

so

$x=y+5$ ----> equation A

After eight years, Ben's age will be 1.2 times of Violet's age at that time.

so

$(x+8)=1.2(y+8)$ ----> equation B

substitute equation A in equation B

$(y+5+8)=1.2(y+8)$

solve for y

$y+13=1.2y+9.6\\1.2y-y=13-9.6\\0.2y=3.4\\y=17$

Find the value of x

$x=17+5=22$

therefore

Ben's age is 22 years now

Violet's age is 17 years now

How old will Violet be 10 years from now?

Adds 10 years to Violet's age now

so

$17+10=27\ years$