Question

The sum of the one eighth , one twelfth and one twentieth parts is 31,find the number

Answer 1

Let the no. be x...

Then,

x/8 + x/12 + x/20 = 31

So,

(15x + 10x + 6x)/120 = 31

So,

31x/120 = 31

Hence,

x = 31 * 120/31

= 120....

Answer 2

Answer:

120

Step-by-step explanation:

Let the number be x

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

One-twelfth of a number = $\frac{x}{12}$

One-twentieth of a number = $\frac{x}{20}$

Now we are given that the sum is 31

So, $\frac{x}{8}+\frac{x}{12}+\frac{x}{20}=31$

$\frac{x}{8}+\frac{x}{12}+\frac{x}{20}=31$

$x=120$

Hence the number is 120