Question

Two-thirds of the sum of a number and 5 is the same as one-quarter of the difference between five times the number and 3. Find the number.

Answer 1

Answer:

hope it helps

Step-by-step explanation:

let X be the no.

Answer 2

The number is 7.

Explanation:

Let the number be x.

According to the question , we have

$\dfrac{2}{3}(x+5)=\dfrac{1}{4}(5x-3)$

Multiply 12 on both sides , we get

$12\times\dfrac{2}{3}(x+5)=12\times\dfrac{1}{4}(5x-3)\\\\ 8(x+5)=3(5x-3)\\\\ 8x+40=15x-9\\\\ 15x-8x=40+9\\\\ 7x=49$

Divide both sides by 7 , we get x= 7

Hence, the number is 7.

# Learn more :

When one quarter of a number is subtracted from one third of the number, the result is 7. find the number?

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