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When a certain number, 'm' is divided by 5 and added to 8, the result is equal to thrice the number subtracted from 4. What is the value of 'm?

  • a)
    2

  • b)
    4/3

  • c)
    −1

  • d)
    -5/4

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
When a certain number, m is divided by 5 and added to 8, the result is...
As per question,m is divided by 5 and add to 8 gives 8+m/5​.
And is equal to 3m subtracted from 4 i.e. equal to 4−3m.
Then 4−3m=8+ m/5​
⇒20−15m=40+m
⇒20−40=m+15m
⇒−20=16m
⇒m= −5/4​
Community Answer
When a certain number, m is divided by 5 and added to 8, the result is...
The equation can be written as:

(m/5) + 8 = 4 - 3m

Multiplying both sides of the equation by 5 to eliminate the fraction:

m + 40 = 20 - 15m

Combining like terms:

16m = -20

Dividing both sides by 16:

m = -20/16

Simplifying:

m = -5/4

So the value of m is -5/4 or -1.25.

None of the answer choices provided match the value of m, so the correct answer is not given.
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