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

**Problem**

**Problem**

If the sum of money is divided among ‘*n*’ children, each child will receive $60. If another child is added to the group and the amount is distributed again each child will receive $50. What is the sum of money to be distributed?

- $3
- $30
- $300
- $3000
- Cannot be determined

**The Usual Method**

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Let $‘*x*’ be the sum of money,

than

Also when a child joins,

Hence, $300

**(Ans: 3)**

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

**Using Technique**

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Since and also ; *x* should be a multiple of both 50 and 60. Hence simply find the LCM of 60 and 50 which is 300 which is the answer.

**(Ans: 3)**

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

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## One reply on “[Smart Math] Algebra Problem 27”

That’s smart. It should be clicking in the minds of the people preparing for competitive exams in no time at all. Because it’s logical. Plain, simple, but smart.