Question

Find the number.
One-fifth of a number subtracted from two-thirds of it gives 28. Find the number.​

Answer 1

Answer :

The number = 60

Explanation :

Given :

• One - fifth = 1 / 5
• Two - third = 2 / 3
• Gives = 28
• subtracted = ( - )

According to the question :

Let the number be ' x '

→ 1 / 5 x - 2 / 3 x = 28

⋆ [ LCM = 15 ]

→ ( 1 × 3 / 5 × 3 )x - ( 2 × 5 / 3 × 5 )x = 28

→ ( 3 / 15 )x - ( 10 - 15 )x = 28

→ 3x - 10x / 15 = 28

→ -7x / 15 = 28

→ -7x = 28 × 15

→ -7x = 420

→ x = 420 / 7

→ x = 60

♥ So, It's Done ♥ !!

Answer 2

AnswEr :-

• That number is -60.

Given :-

• One fifth of a number is subtracted from two thirds of it, gives 28.

To Find :-

• That number.

SoluTion :-

Let,

• That number be x
• One fifth of the number = x/5
• Two thirds of the number = 2x/3

One fifth of x is subtracted from two thirds of x

According to question :-

x/5 - 2x/3 = 28

→ (3x - 10x) / 15 = 28

→ -7x/15 = 28

→ -7x = 28 × 15

→ -7x = 420

→ x = 420/-7

→ x = -60

Hence, that number is -60.

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