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Starrysoul100

[tex]\bold{\huge{\red{\underline{ Solution}}}}[/tex]

Given :-

  • If 4 is added to the number and the number is tripled, then the result is 26 more than the number.

Let's Begin :-

Let the number be x

According to the question,

[tex]\bold{ 3(x + 4) = 26 + x }[/tex]

  • Multiply 3 with the number x + 4 and 26 + x

[tex]\bold{ 3x + 12 = 26 + x }[/tex]

[tex]\bold{ 3x - x = 26 - 12 }[/tex]

  • Subtract like terms that is 3x - x and 26 - 12

[tex]\bold{ 2x = 14}[/tex]

[tex]\bold{ x =}{\bold{\dfrac{ 14}{2}}}[/tex]

  • Divide 14 by 2 for finding the value of x.

[tex]\bold{\pink{x = 7 }}[/tex]

Hence, The number is 7 .

[tex]\bold{\huge{\blue{\underline{ Verification }}}}[/tex]

[tex]\bold{ 3(7 + 4 ) = 26 + 7}[/tex]

[tex]\bold{ 21 + 12 = 26 + 7 }[/tex]

[tex]\bold{ 33 = 33 }[/tex]

[tex]\bold{ LHS = RHS }[/tex]

From Above,

We can conclude that the unknown number is 7 .

If 4 is added to a number and the sum is tripled, the result is 26 more than the number. Therefore, that number is 7.

How to convert expression to mathematical equation and solve

The expression can be converted as follows:

let the number  = x

If 4 is added to a number. Therefore,

  • x + 4

And the sum is tripled .Therefore,

  • 3(x+4)

The result is 26 more than the number. Therefore,

  • 3(x + 4) = 26 + x

3(x + 4) = 26 + x

3x + 12 = 26 + x

3x - x = 26 - 12

2x = 14

x = 14 / 2

x = 7

learn more on algebra here: https://brainly.com/question/13159539

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