the sum of the ages of a football coach and his 2 team members is 100. His age will be the sum of the two team members in 12 years time. How old is the football coach?
Answers
Answer:
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Step-by-step explanation:
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Answer: 56
Step-by-step explanation:Let us take the age of the coach to be C and age of both the teammates as T.
So the sum age of both the coach and teammates in the present can be written as, C + T = 100.
In 12 years time we can write the age of the coach and both the teammates as, C + 12 = T + 24 (It is 24 because we are considering both the teammates)
C + 12 = T +24
= C – T = 24 – 12
= C – T = 12
C + T = 100 & C – T = 12.
C – T = 12
= C – 12 = T ( So we can substitute T as C – 12 )
We can write the current age of the coach and his teammates as
C + ( C-12) = 100
= 2C = 100 + 12
= 2C = 112
= C = 112/2
= 56
∴ The age of the football coach = 56