25-02-2020
Mathematics

contestada

Twice the sum of a number and 5 is equal to three times the difference of the number and 7. Find the number.

Respuesta :

Hrishii Hrishii

25-02-2020

Step-by-step explanation:

Let the required number be x.

According to the given information:

[tex]2(x + 5) = 3(x - 7) \\ \\ \therefore \: 2x + 10 = 3x - 21 \\ \\ \therefore \: 10 + 21 = 3x -2x \\ \\ \therefore \: 31 = x \\ \\ \huge \red { \boxed{\therefore \: x = 31}}[/tex]

Hence the required number is 31.

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