A group of numbers has range 18 and mean 13. Distance of mean from large number is two times the distance from smallest number. What is the maximum number?

This question has no options. The question is taken from a higher secondary mathematics book.

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- nikhilkatira
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Is the answer 25 ?ern5231 wrote:A group of numbers has range 18 and mean 13. Distance of mean from large number is two times the distance from smallest number. What is the maximum number?

This question has no options. The question is taken from a higher secondary mathematics book.

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Nikhil H. Katira

Nikhil H. Katira

- rajeshsources
- Senior | Next Rank: 100 Posts
**Posts:**51**Joined:**28 Mar 2010**Location:**Hyderabad, India**Thanked**: 9 times

*ern5231 -----*

Range means the difference of Maximum & Minimum. so,we can write as

Range = 18

Max - Min = 18

The given condition is

*Distance of mean from large number is two times the distance from smallest number*. We can write this as,

*Mean will always the number in between Largest(Maximum) number and Smallest(Minimum) number.*

(Maximum - Mean) = 2 (Mean - Minimum)

Given Mean = 13,

Max - 13 = 2 (13 - Min)

Max - 13 = 26 - 2Min

Max + 2Min = 26+13

Max + 2Min = 39

We have two eqns,

Max - Min = 18

Max + 2Min = 39

By solving,

**Max = 25. -- CORRECT ANSWER.**

HTH, GOOD LUCK,

Thanks,

Rajesh,

Loves GMAT....!!!

Thanks,

Rajesh,

Loves GMAT....!!!