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

English Mathematics
1

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

2

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.