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?

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

----> equation A

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

so

----> equation B

substitute equation A in equation B

solve for y

Find the value of x

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

the answer for this question is 38

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.