# If one-seventh of a number exceeds its eleventh its eleventh part by 100, then the number is:

**URL:** <https://sorumatik.co/t/if-one-seventh-of-a-number-exceeds-its-eleventh-its-eleventh-part-by-100-then-the-number-is/21355>\
**Category:** Mathematics\
**Created:** [Eylül 10, 2023, 12:10ös UTC](https://sorumatik.co/t/if-one-seventh-of-a-number-exceeds-its-eleventh-its-eleventh-part-by-100-then-the-number-is/21355 "2023-09-10T12:10:41Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![Dersnotu](https://sorumatik.co/user_avatar/sorumatik.co/dersnotu/32/3037_2.png) [@Dersnotu](https://sorumatik.co/u/Dersnotu)\
**Post date:** [Eylül 10, 2023, 12:10ös UTC](https://sorumatik.co/t/if-one-seventh-of-a-number-exceeds-its-eleventh-its-eleventh-part-by-100-then-the-number-is/21355/1 "2023-09-10T12:10:41Z")

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If one-seventh of a number exceeds its eleventh its eleventh part by 100, then the number is:

**A**

## 770

**B**

## 1100

**C**

## 1825

**D**

## 1925

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<div class="post-metadata">

**Author:** ![Dersnotu](https://sorumatik.co/user_avatar/sorumatik.co/dersnotu/32/3037_2.png) [@Dersnotu](https://sorumatik.co/u/Dersnotu)\
**Post date:** [Eylül 10, 2023, 12:11ös UTC](https://sorumatik.co/t/if-one-seventh-of-a-number-exceeds-its-eleventh-its-eleventh-part-by-100-then-the-number-is/21355/2 "2023-09-10T12:11:09Z")

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**If one-seventh of a number exceeds its eleventh its eleventh part by 100, then the number is:**

**Answer** : Let’s call the number “x.”

According to the information provided:

1/7 of the number is (1/7) \* x.  
1/11 of the number is (1/11) \* x.

The problem states that 1/7 of the number exceeds its 1/11 part by 100:

(1/7) \* x - (1/11) \* x = 100

Now, let’s solve for x:

Multiply both sides of the equation by the least common multiple of 7 and 11, which is 77, to eliminate fractions:

11x - 7x = 100 \* 77

4x = 7700

Now, divide both sides by 4 to isolate x:

x = 7700 / 4

x = 1925

So, the number is 1925.