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taurus [48]
2 years ago
15

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

Mathematics
2 answers:
Sholpan [36]2 years ago
7 0
<h3><u>Question</u><u>:</u></h3>

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

<h3><u>Solution</u><u>:</u></h3>
  • 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.
<h3><u>Answer:</u></h3>

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

Hope it helps!

Lady_Fox [76]2 years ago
3 0

Answer:

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

Step-by-step explanation:

~HappyQueen~

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