Average of two natural number is 5 greater than one of the numbers if the quotient of number is 2 what are number
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Solution:
Let a , b are two natural numbers.(b>a)
According to the problem given,
i) average of two natural numbers = (a+b)/2
ii) b/a = 2
b = 2a ----(1)
Now ,
(a+b)/2 - a = 5
=> (a+b-2a)/2 = 5
=> b - a = 10 ---(2)
substitute (1) in equation (2), we get
=> 2a - a = 10
=> a = 10
put a = 10 in equation (1) , we get
b = 2a = 2×10 = 20
Therefore,
Required two natural numbers are 10, 20
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