When a number is divided by 25 ,its cube root is x .When it is multiplied with 5 then its cube root is y .If x+y=36and the number is 5395 +a then a = ______
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Let the number be n
Then
According to question
25/n = Cube root of x
Thus
x = (25/n)^3
x = 15625 / n^3 Eqn1
And Similarly
n * 5 = Cube Root of y
Thus
125 n^3 = y
Now we are given that
x + y = 36
Thus
15625 / n^3 + 125 n^3 = 36
15625 + 125 n^6 = 36 n^3
n = 5400
thus
a = 5400 - 5395
a = 5
Then
According to question
25/n = Cube root of x
Thus
x = (25/n)^3
x = 15625 / n^3 Eqn1
And Similarly
n * 5 = Cube Root of y
Thus
125 n^3 = y
Now we are given that
x + y = 36
Thus
15625 / n^3 + 125 n^3 = 36
15625 + 125 n^6 = 36 n^3
n = 5400
thus
a = 5400 - 5395
a = 5
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