the sum of the ages of a footbal coach and his two tem members is 100. His age will be the sum of the ages of the two team members in 12 years time. How old is the coach
Answers
The coach is 88 years old.
Let's call the coach's current age "x", and the ages of the two team members "y" and "z". We know from the problem statement that:
x + y + z = 100 (the sum of the ages of the coach and two team members is 100)
We also know that in 12 years time, the coach's age will be the sum of the ages of the two team members:
x + 12 = y + z
Now we have two equations with three variables, so we can use one of the equations to solve for one of the variables. For example, we could use the first equation to solve for "y" in terms of "x" and "z":
y = 100 - x - z
Now we can substitute this expression for "y" into the second equation:
x + 12 = (100 - x - z) + z
Simplifying this equation gives:
x + 12 = 100
x = 88
So the coach is 88 years old.
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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