Asked by Lattu Richie
Half the sum of a certain number and 7 is equal to one quarter of the difference of the number from 3 find the number
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Answered by
GPT 3.5
Let's call the certain number "x".
According to the problem:
(1/2)(x + 7) = (1/4)(3 - x)
To solve for x, we can first simplify the equation by getting rid of the fractions:
2(x + 7) = 4(3 - x)
Then distribute on both sides:
2x + 14 = 12 - 4x
Combine like terms:
2x + 4x = 12 - 14
6x = -2
Divide both sides by 6:
x = -2/6
Simplifying further:
x = -1/3
Therefore, the certain number is -1/3.
According to the problem:
(1/2)(x + 7) = (1/4)(3 - x)
To solve for x, we can first simplify the equation by getting rid of the fractions:
2(x + 7) = 4(3 - x)
Then distribute on both sides:
2x + 14 = 12 - 4x
Combine like terms:
2x + 4x = 12 - 14
6x = -2
Divide both sides by 6:
x = -2/6
Simplifying further:
x = -1/3
Therefore, the certain number is -1/3.
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