Here’s and example of a **SMART MATH** problem for **ALGEBRA.**

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**Problem**

**Problem**

The difference of squares of two numbers is 24 and one of the numbers is 5/7^{th} of the other. Find the numbers.

- 7, 5
- 7, 9
- 10, 14
- 7, 12
- 2, 5

**The Usual Method**

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The ratio of one of the numbers to another is .

Let the numbers be ‘1’ and ‘2’.

Also, given that

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**(Ans: 1)**

*Estimated Time to arrive at the answer = 45 seconds.*

**Using Technique**

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Just look at the options and see which numbers are in the ratio of 5 : 7. Thus all options other than ‘1’ and ‘3’ are eliminated.

Also, for option ‘3’:

Thus answer is option ‘1’:

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**(Ans: 1)**

*Estimated Time to arrive at the answer = 10 seconds.*

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