two parts of a number are such that one is half the other. the sum of the two part is 8 more than their difference. what is the parts and what is the number
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Step-by-step explanation:
Let the two parts of the number be x and y.
Given:
y = x/2 {as one part is half of other}
Also, According to question;
(x + y) = (x - y) + 8
(x + y) = (x - y) + 8 so, ( x + x/2 ) = ( x - x/2 ) + 8
(x + y) = (x - y) + 8 so, ( x + x/2 ) = ( x - x/2 ) + 8or, 3x/2 = x/2 + 8
(x + y) = (x - y) + 8 so, ( x + x/2 ) = ( x - x/2 ) + 8or, 3x/2 = x/2 + 8or, x = 8
(x + y) = (x - y) + 8 so, ( x + x/2 ) = ( x - x/2 ) + 8or, 3x/2 = x/2 + 8or, x = 8 So, y = x/2 = 8/2 = 4
So, the two parts of the number is 8 & 4.
So, the two parts of the number is 8 & 4.So, the number is 12 as one part is 8 and other is 4.
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