Question

2/3
of a number is 20 less than the
original number. then the number is
1) 69
2) 71
3) 70
4) 60​

Answer 1

Answer:

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Step-by-step explanation:

Let the number be x

2/3 x = x -20

20 =x -2/3x

1/3 x =20

60 = x.

Hence, the number is 60

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The original number is 60.

Step 1:

Let the original no. be x.

Let 2/3 of the original no. be 2/3x.

Step 2:

Forming the equation, we get,

x- 2/3x =20 (2/3x is less than x by 20 means that their difference is 20)

Taking x common from the L.H.S,

x(1-2/3) = 20

Step 3:

Subtracting (1 - 2/3) on the L.H.S,

x ( 1/3 ) =20

x = 20 / (1/3)

x = 60

Answer 2

Answer:

4) 60

Step-by-step explanation:

∴ 2x/3 = x - 20

⇒ 2x = 3(x - 20)

⇒ 2x = 3x - 60

⇒ 3x - 2x = 60

∴ x = 60