half a number is 3 more than the 1/6 of the same number what is the number
Answers
Answer:
I'm not sure still
Step-by-step explanation:
hope it helps you
Determining a Number
Answer: required number is 9.
Explanation:
given that
half a number is 3 more than the 1/6 of the same number
Need to determine the number.
lets assume the number be represented by variable y.
then half of the number will be (1/2) × y = y/2
and 1/6 of the number will be (1/6) ×y = y/6
As half of the number is 3 more than the 1/6 of the same number , it means if we subtract 3 from half of the number , we will get 1/6 of the same number .
=> (y/2) - 3 = y/6
On Solving above one variable equation for y we get
(y - 6) / 2 = y/6
=> y - 6 = 2 x y/6
=> y - 6 = y/3
=> 3( y - 6) = y
=> 3y - 18 = y
=> 3y - y = 18
=> 2y = 18
=> y = 18/2 = 9
so required number is 9.
we can also check this .
half the number = 9/2 , 1/6 of number = 9/6 = 3/2
on substrating 3 from half the number we get
9/2 - 3 = (9 - 6)/2 = 3/2 that is 1/6 of number , hence our solution is correct.
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