Gabriel C.
asked • 04/23/18The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x?
The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of x?
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2 Answers By Expert Tutors
Nadia S. answered • 04/24/18
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If x= 570 and which is 50 % more than sum of 2 other numbers.
That means sum of 2 other numbers is half of 570 which is 285
And
285 + 570 =855 which is given in your example
Naomi S. answered • 04/23/18
Tutor
New to Wyzant
Patient and experienced math tutor
first number = x
second number + third number = x/2
x + x/2 = 855
2x + x = 1710
3x = 1710
x = 570
Gabriel C.
this is incorrect, the answer should be 513
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04/23/18
Nadia S.
If answer is 513 then half of 513 is 256.5 which is sum of other two numbers and then addition of 256.5 and 513 is 769.5 but it is given that addition of 3 numbers is 855
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04/24/18
Timothy L.
The answer sheet says it is 513
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04/13/19
Gabriel S.
The sentence x is 50% more than the sum of the other two numbers actually means x is 50% (of the sum of the other two numbers) more than the sum of the other two numbers or better put it: x is greater than the sum of the other two numbers by 50% of their sum. Meaning when you add 50% of the sum of the two numbers to their sum, it will give the value of x. That is: If the other two numbers are y, and z. Then x = (y + z) + 50% of (y +z) => x = (1 + 50%)(y + z) => x = (1 + 0.5)(y + z) => x = 1.5(y + z)
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03/15/21
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Big Y.
x = First Number y = Second Number z = Third Number x + y + z = 855 x = ( y + z ) + 0.5 ( y + z ) x + y + z = 855 x = 1.5 ( y + z ) x + y + z = 855 x = 1.5y + 1.5z 1.5 ( x + y + z = 855 ) x - 1.5y - 1.5z = 0 Solve the equations below by elimination 1.5x + 1.5y + 1.5z = 1282.5 x - 1.5y - 1.5z = 0 2.5x = 1282.5 x = 513 ;)09/19/19