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ACT Exam  >  ACT Questions  >  If 50 is subtracted from two-third of a numbe... Start Learning for Free
If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number?
  • a)
    136
  • b)
    199
  • c)
    176
  • d)
    216
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
If 50 is subtracted from two-third of a number, the result is equal to...
Let the number be x.
According to Question,
2x/3 - 50 = x/4 + 40
⇒ 5x/12 = 90
⇒ x = (90 x 12)/5
⇒ x = 216
∴ The number is 216.
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Most Upvoted Answer
If 50 is subtracted from two-third of a number, the result is equal to...
To solve this problem, let's assume the number we're trying to find is represented by the variable 'x'.

Let's break down the information given in the problem:

1. "Two-thirds of a number" can be represented as (2/3) * x.
2. "50 is subtracted from two-thirds of a number" can be written as (2/3) * x - 50.
3. "One-fourth of that number" can be represented as (1/4) * x.
4. "The result is equal to the sum of 40 and one-fourth of that number" can be written as (1/4) * x + 40.

So, the equation becomes:

(2/3) * x - 50 = (1/4) * x + 40

To simplify the equation, we can multiply it by the least common denominator, which is 12. This will eliminate the fractions:

12 * [(2/3) * x - 50] = 12 * [(1/4) * x + 40]

8x - 600 = 3x + 480

Next, let's isolate the variable 'x' by moving the constant terms to one side and the variable terms to the other side of the equation:

8x - 3x = 480 + 600

5x = 1080

Now, divide both sides of the equation by 5 to solve for 'x':

x = 1080 / 5

x = 216

Therefore, the number we were looking for is 216, which corresponds to option 'D'.
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Community Answer
If 50 is subtracted from two-third of a number, the result is equal to...
Let the number be x.
According to Question,
2x/3 - 50 = x/4 + 40
⇒ 5x/12 = 90
⇒ x = (90 x 12)/5
⇒ x = 216
∴ The number is 216.
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If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number?a)136b)199c)176d)216Correct answer is option 'D'. Can you explain this answer?
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