Divide 60 into 4 parts, such that if the first be diminished by 3, second increased by 11,
third multiplied by 4 and the fourth divided by 2, the results will be all equal.
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19,5,4,32
Step-by-step explanation:
60 is divided into 4 parts
let the part be a,b,c,d
∴ 3 is subtracted from 1st part = a-3
∴ 11 is added to 2nd part = b+11
∴ 4 is multiplied to 3rd part = 4c
∴ 2 is divided from 4th part = d/2
The result are all equal
let the result be x
∴ a-3 =x
⇒ a = 3+x
∴ b+11 = x
⇒b= 11-x
∴ 4c = x
⇒ c = x/4
∴ d/2 = x
⇒ d = 2x
∴ a+b+c+d = 60
∴ x+3+x-11+x/4+2x =60
⇒ 4x+12+4x-4x+x+8x = 240
⇒ 17x = 240+44-12 = 272
x = 272/17 = 16
x= 16
∴ a = 16 +3 = 9
∴ b = 16-11 = 5
∴ c = 16/4 = 4
∴ d = 2×16 = 32
Hope this answer will help you
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