21. If the average age of 10 persons is decreased by 2 years when Rahul whose age is 50 years is replaced by Mohan. What is the age of Mohan?
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Answer:
30
Step-by-step explanation:
Age of Rahul is 50
Let age of Mohan be y
Let age of all other 9 people (unchanged) be x
Avg with Rahul - (50+x)/10
Avg with Mohan - (y+x)/10
It's given that if we replace Rahul by Mohan, the avg gets decreased by 2
So, (y+x)/10 = ( (50+x)/10 ) - 2
Solving the equation we will get y = 50 - 20, which is 30.
So, Mohan is 30 yrs old.
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