Ten years ago, Rahul is 5 years older than Ravi. Find the present age of Ravi, if it is given that sum of their ages after 5 years will be 43 years.
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This is an example of simultaneous equations.
The two equations we can derive from the information given is:
Let Rohit’s age = x and his brother’s = y
Then,
x+y=25 (1)
x=y+5 (2)
To isolate a variable we can do eq.(1) -eq.(2)
So,
(x+y)-x=25-(y+5)
Which simplifies to:
y=25-y-5
y=20-y
2y=20
y=10
We have found y, now we substitute y into any of the equations at the top.
For example, we use eq.(2)
x=y+5
x=(10)+5
x=15
Therefore, Rohit is 15 years old and his brother is 10 years old.
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