Write the verbal statement as an equation and solve it. Two more than three times a number is 17.

Question:

Write the verbal statement as an equation and solve it.

Two more than three times a number is 17.

Word Problems in Algebra:

We use Algebra in solving many word problems. Here, we assume the unknown quantity to be a variable, write an equation based on the given condition and solve it applying the algebraic operations on both sides of the equation.

Answer and Explanation:

Let us assume the number to be {eq}n {/eq}.

The given statement is, "Two more than three times a number is 17".

This translates to the equation:

$$2 + 3 n = 17 \\[0.3cm] \text{Subtracting 2 from both sides}, \\[0.3cm] 2+3n-2=17-2 \\[0.3cm] 3n = 15 \\[0.3cm] \text{Dividing both sides by 3}, \\[0.3cm] \dfrac{3n}{3}= \dfrac{15}{3} \\[0.3cm] n=\boxed{\mathbf{5}} $$


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