Question

the sum of the one - eighth one - twelvfth and one -twentieth part is 31 find the number​

Answer 1

Answer:

The number is 120.

Step-by-step explanation:

Let the number be x

Now, according to the Question,

(1/8)x + (1/12)x + (1/20)x = 31

Taking LCM = 120

(1/8)x × (15/15) = (15/120)x

(1/12)x × (10/10) = (10/120)x

(1/20)x × (6/6) = (6/120)x

Now, the equation becomes,

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

Adding the numerators, since they are like now,

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

(31/120)x = 31

31x/120 = 31

31x = 31 × 120

x = (120 × 31)/31

x = 120

Thus,

The number is 120.

Hope it helped and believing you understood it........All the best.