Can You Solvw This Plsss

Can you solvw this plsss

 

Answer:

The ratio of Matts age to Vickys age eight years from now is  3:4.

Step-by-step explanation:

Present ages:

Vicky: x

Matt:  (5/8)x  or 5x/8

Ages in 11 years:

Vicky: x + 11

Matt: (5x/8) + 11

Sum of their ages in 11 years: 48

Working equation:

(x + 11) + (5x/8 + 11) = 48

Find Vickys present age, x:

(x + 11) + (5x/8 + 11) = 48

(8x/8 + 5x/8) + 11 + 11) = 48

13x/8 + 22 = 48

13x/8 = 48-22

x = 26(8/13)

x = 16  ⇒  Vickys age

Substitute 16 to x in present ages:

Vickys age: x = 16 years old

Matts age: (5/8) (16) = 10 years old

Ages in 8 years:

Vicky:  16 + 8 = 24 years old

Matt: 10 + 8 = 18 years old

Ratio of Matts age to Vickys age 8 years from now:

18 : 24  ⇒ 3 : 4