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frosja888 [35]
3 years ago
5

Alex and Alicia are twins. Kevin is 5 years older than the twins. Their ages total 53. How old are the twins?

Mathematics
1 answer:
vovangra [49]3 years ago
8 0
Let 2a=Alex and Alicia’s age and a=Alex or Alicia’s age
And k=Kevin’s age
a+5=k
2a+k=53

And to solve use substitution since we already know what k is

2a+(a+5)=53
2a+a+5=53
3a+5=53
3a=48
a=16

And just in case you wanted to know if needed it

16+5=k
21=k

Alex is 16, Alicia is 16 and Kevin is 21
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Hello.

1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
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sin^-1(7/25) = 16.26020471°
(round as needed)

Angle &: (also in degree mode)

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To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle

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