Question

If two-third of a number, half of the same number and one-seventh of same number is added to itself, the result is 37 . The number is______​

Answer 1

Let the number be x

⇒ Then,

3

2

x+

2

1

x+

7

1

x+x=37

⇒

42

28x+21x+6x+42x

=37

⇒ 97x=37×42

⇒ x=

97

1554

∴ x=16

97

2

Answer 2

Answer:

Let,

The number be x

Two-third of a number=2/3x

One-half of a number =1/2 x

One-seventh of a number =1/7 x

A.T.Q,

2/3 x+1/2 x+1/7 x+x=37

⟹  28x+21x+6x+42x/42  =37

⟹  97/42 x=37

⟹x= 37×42/97

​ ⟹x=1554/97

​  =16  2/97

​