Combined ages of A and B is 86, B and C is 73 and A and C is 15. Find their ages?
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Answer:
The age of A is 14 years, the age of B is 72 years and the age of C is 1 year. Please mark me as brainliest.
Step-by-step explanation:
Let the ages of A, B and C be A, B and C years respectively.
A + B = 86 ..1
B + C = 73 ..2
A + C = 15 ..3
(Adding 1, 2 and 3)
A + B + B + C + A + C = 86 + 73 + 15
2A + 2B + 2C = 174
2(A + B + C) = 2(87)
A + B + C = 87 ..4
(Subtracting 2 from 4)
A + B + C - B - C = 87 - 73
A = 14
(Subtracting 3 from 4)
A + B + C - A - C = 87 - 15
B = 72
(Subtracting 1 from 4)
A + B + C - A - B = 87 - 86
C = 1
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