Four positive numbers are such that their sum is 75. If the first of these numbers is increased by 4, the second is decreased by 4, third is multiplied by 4 and fourth is divided by 4, we get four equal numbers. The first original number is …………
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let the number be x
first number = x + 4
second number = x - 4
third number = 4x
fourth number =
sum of these numbers = 75
according to question
(x+4) + (x-4) + (4x) + () = 75
x+4 + x-4 + 4x + = 75
= 75
25x = 75 x 4
25x = 300
x =
x = 12
therefore the first number is
x + 4 = 12 + 4 = 16
the second number = x-4 =12-4 = 8
the third number = 4x = 12 x 4 = 48
the fourth number = = = 3
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