Question

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.​

Answer 1

Question:

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

Solution:

• Let the age of Tiffany be x years.
• Then, the age of Emily = 4x years.
• After 10 years, the age of Tiffany will be (x+10) years.
• After 10 years, the age of Emily will be (4x+10) years.
• Therefore, by the problem

$4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5$

• So, Tiffany's present age = 5 years.
• Emily's present age = (4×5) years = 20 years.

Answer:

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

Answer 2

Answer:

Emily's age is 20 years and Tiffany's age is 5 years.

Step-by-step explanation:

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