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Five times a number, subtracted from eighteen, is triple the number. Find the number.

The number is ____.

A) 4.
B) 6.
C) 3.
D) 2.

User Surendra
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8.1k points

2 Answers

1 vote

Answer:

2

Step-by-step explanation:

let the number be X

five time the number is 5X is subtracted from 18

18-5X is equal to triple the number

18-5X=3X

collect like terms

18=5X+3X

18=8X

divide both side by the coefficient of X

X=18/8

X=2.25

User Rufi
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8.3k points
4 votes

Final answer:

By solving the equation 18 minus 5 times a number equals 3 times the number, the answer obtained is x = 2.25, which does not match any of the provided choices. There may be an error in the choices provided or the problem formulation.

Step-by-step explanation:

To find the number that satisfies the condition that five times the number, subtracted from eighteen, is triple the number, we can create an equation and solve for the unknown. Let's denote the unknown number as x.

According to the problem, 18 minus 5 times a number is equal to 3 times the number:


18 - 5x = 3x

Adding 5x to both sides to get all x terms on one side:


18 = 3x + 5x

Combining like terms:

18 = 8x

Dividing both sides by 8 to solve for x:

x = 18 / 8

x = 2.25

However, none of the answer choices are 2.25, which means there might have been a miscalculation. Let's try solving it again:

18 - 5x = 3x

18 = 3x + 5x

18 = 8x

x = 18 / 8

x = 9 / 4

x = 2.25

The correct answer does not match any of the provided choices (A) 4, (B) 6, (C) 3, or (D) 2. There might have been an error in the given choices or in the formulation of the problem as presented.

User Rogerrw
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7.6k points