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GRE Algebra – Word Problems

When four is added to six times a number and the result squared, the result obtained is four times the square of the sum of the number and its next multiple. What is the number?

Explanation:

The question can be directly converted to an equation as follows.

Let ‘n’ be the number.

(4 + 6n)2= 4(n + 2n)2

22(2 + 3n)2 = 4(3n)2

4 + 12n + 9n2= 9n2

n = 

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