SOLUTION: Natasha is 5 years older than Alex. Fiona is 10 years younger than Alex. If the total of their ages is 55, how old is the youngest of them?
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Question 1152848: Natasha is 5 years older than Alex. Fiona is 10 years younger than Alex. If the total of their ages is 55, how old is the youngest of them? Found 2 solutions by math_helper, MathTherapy:Answer by math_helper(2461) (Show Source):
This is a good problem to work out mentally...
But since this is algebra.com, here is an algebraic method:
A = Alex's age
(A) + (A+5) + (A-10) = 55
3A - 5 = 55
3A = 60
A = 20 ---> A-10 = 10 (Fiona is 10)
Check:
Spelling out all the ages:
Alex is 20
Fiona is 10
Natasha is 25
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Total is 55 (ok)
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Natasha is 5 years older than Alex. Fiona is 10 years younger than Alex. If the total of their ages is 55, how old is the youngest of them?
It should be obvious to anyone who reads this that Fiona is the youngest.
Let Fiona's age be F
Then Alex' is F + 10, and Natasha's is: F + 10 + 5, or F + 15
We then get: F + F + 10 + F + 15 = 55
3F = 30
F, or Fiona, being the youngest is:
