Question

a number whose seventh part exceeds its eighth part by 2

Answer 1

Answer:

Step-by-step explanation:

(1/7)x=(1/8)x+2

x/7=(x+16)/8

8(x/7)=x+16

8x=7(x+16)

8x=7x+128

8x-7x=128

x=128

Answer 2

The number is 112

Step-by-step explanation:

Let the number be x

One seventh of number = $\frac{x}{7}$

One eight of number $= \frac{x}{8}$

We are given that  seventh part exceeds its eighth part by 2

$\frac{x}{7}-\frac{x}{8}=2\\\frac{8x-7x}{56}=2\\x=56 \times 2$

x = 112

Hence The number is 112

#Learn more:

The sum of a number and twice the number is 57.

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