If you subtract 1 upon 2 from a number and multiply the result by 1 upon 2, you get 1upon 8, what is the number?
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Answer:
3/4.
Step-by-step explanation:
Here, we have a number about which it is given that If you subtract 1 upon 2 from a number and multiply the result by 1 upon 2, you get 1upon 8.
Now let the number be x.
First lets subtract 1/2 from the number.
This gives,
(x - 1/2)
Now lets multiply the result by 1/2.
This gives,
(x - 1/2) * 1/2.
Now the result is 1/8.
This means,
1/2(x - 1/2) = 1/8.
Solving the bracket,
x - 1/2 = 2x - 1 whole upon 2.
Now we have
1/2(2x - 1/2) = 1/8
1/2 is in multiplication on LHS.
It will be transposed to RHS.
So we have
2x - 1/2 = 1/8 * 2
2x - 1/2 = 1/4.
Now send 2 to RHS.
2x - 1 = 2/4
2x - 1 = 1/2
2x = 1/2 + 1
2x = 3/2
x = 3/4.
Hope it helped.
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