Question

Tiffany is 34 years old and Vanessa is 6 years old. How many years will it take until Tiffany is only 3 times as old as Vanessa?

Answer 1

8 years later tiffany will be 3 times as old as vanessa.

Answer 2

Answer:

8 years

Step-by-step explanation:

Given : Tiffany is 34 years old and Vanessa is 6 years old.

To Find:  How many years will it take until Tiffany is only 3 times as old as Vanessa?

Solution :

Let x be the years   will it take until Tiffany is only 3 times as old as Vanessa

Since we are asked after  How many years will it take until Tiffany is only 3 times as old as Vanessa

⇒34 + x = 3 (6 + x)   --a

⇒34 + x = 18 + 3x

⇒3x-x = 34 - 18

⇒2x/2 = 16/2

⇒x = 8

So, it will take  8 years until Tiffany is only 3 times as old as Vanessa

To Check:

Put x = 8 in a

34 + 8 = 3 (6 + 8)

42 = 3 (14)

42 = 42

So ,Ages in 8 years:

Tiffany: 34+8 =42

Vanessa: 6+8=14

So, 42 = 3(14)

42 = 42

Hence verified

Hence it will take  8 years until Tiffany is only 3 times as old as Vanessa