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

Step-by-step explanation:

Let,

The number be x

Two-third of a number=

3

2

x

One-half of a number =

2

1

x

One-seventh of a number =

7

1

x

A.T.Q,

3

2

x+

2

1

x+

7

1

x+x=37

⟹

42

28x+21x+6x+42x

=37

⟹

42

97

x=37

⟹x=

97

37×42

⟹x=

97

1554

=16

97

2

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Answer 2

Step-by-step explanation:

let the unknown number be X

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

(28x+21x+6x+42x)/42 = 37

97x/42 = 37

X = 37×42/97