One-sixth of a number is 16 less than the one-fourth of the number. Find the number
Answers
✪ Solution ✪
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Let the number is 'x'
So,
One-sixth of a number =
One - fourth of number =
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⋆ Given that :
One-sixth of a number is 16
less than one fourth of the number.
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⋆ To find :
We have to find that number
which we have taken as 'x'.
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★ Now we are going to solve
that equation.
According to the question
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★ Now we are going to verify
our answer
To verify our answer we have
to put '192' at the place of 'x'
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★ Lets do it
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★Here, L.H.S = R.H.S
Hence, it is verified
Required number is 192
Given :- One - Sixth of a number is 16 less than One - fourth of a number.
To find :- Required number
Solution :-
Let the number be x
One - Sixth of a number = 1/6 * x = x/5
One - Fourth of a number = 1/4 * x = x/4
16 less than one - Fourth of a number = x/4 - 16
Given that One - Sixth of a number is 16 less than One - fourth of a number.
Accordind to the question :-
Least Common Factor of 4 and 6 is 12
We got the required number as 192. To check whether it us correct or not substitute x = 192 in the equation that is formed to solve.
Here Left Hand Side = Right Hand Side
So, Required number is 192