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Write and solve an equation to find the number n. The sum of twice a number and 13 is 75. Equation: =75 The number is n= .

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We have twice the number.

2n

We want the sum of that and 13. Sum means to add.

2n+13

And this is 75.

Equation: 2n+13=75

We subtract 13 from both sides.

2n=62

We divide both sides by 2.

n=31

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An equation is formed of two equal expressions. The value of n is 31.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the sum of twice a number and 13 is 75. Therefore, the equation for this situation can be written as,

[tex]2n+13 = 75[/tex]

Solving the above equation for n we will get,

[tex]2n+13 = 75\\\\2n = 75 -13\\\\2n= 62\\\\n = \dfrac{62}{2} \\\\n= 31[/tex]

Hence, the value of n is 31.

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