) If 1/5 of a number is 16 less than the original number, then the number is
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If the 1/5 of a number is 16 less than the original number, then the number is 24
Answer:
24
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Step-by-step explanation:
Translate problem into an equation
1/5 X = X-16
Subtract X from each side
1/5X - X= -16
-2/5X = -16
Multiply each side by -1
Equals 2/5X = 16
Divided each side by 2/5
X = 16 divided by 2/5 or multiplied by 5/2
X = 16 times 5 divided by 2 = 80/2 = 40
Proof: Replace X work 40 too see if formula works:
1/5 (40) = 40–16
24 = 24
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