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:
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