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GRE Algebra - Word Problems | Wizako - GRE Prep Blog

GRE Algebra – Word Problems

January 25, 2013 By K S Baskar Leave a Comment

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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