Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.6 Junior Find the answer

If $2x + 6 = 16$ , what is the value of $x + 4$ ?

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Solution 1: Since $2x + 6 = 16$ , then $\frac{2x + 6}{2} = \frac{16}{2}$ and so $x + 3 = 8$ . Since $x + 3 = 8$ , then $x + 4 = (x + 3) + 1 = 8 + 1 = 9$ . Solution 2: Since $2x + 6 = 16$ , then $2x = 16 - 6 = 10$ . Since $2x = 10$ , then $\frac{2x}{2} = \frac{10}{2}$ and so $x = 5$ . Since $x = 5$ , then $x + 4 = 5 + 4 = 9$ .

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