Question

14 is added to ⅔ of a number. The result is 1¼ times the original number find the number​

Answer 1

Answer:

4 whole number, 20 out of 37

Or 4.5 in one decimal place

Step-by-step explanation:

let x represent unknown number

⅔x +14 =1¼x

Multiply each term by the Lcm

Lcm=12

12(⅔x)+ 12(14) =12(15/4)

4(2x)+168=3(15x)

8x+168=45x

Then group like terms

168=45x-8x

168=37x

Divide each term by the co-efficient of x which is 37

168/37=37x/37

4 whole number 20/37 =x

This is the answer. Please I am done

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Answer 2

Answer:

24

Step-by-step explanation:

Hello.

Give. a name N to the number

Then

$14 + \frac{2x}{3} = \frac{5x}{3}$

$14 = \frac{5x}{3} - \frac{2x}{3}$

$= \frac{15x}{12} - \frac{8x}{12}$

$= \frac{7x}{12}$

Hence

$x = \frac{14 \times 12}{7} = 24$

Hope you have been helped