If $\frac{2}{3}$ of a number is $20$ less than the original number, then the number is

60

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40

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80

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120

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Solution

The correct option is A $60$
Let the number be $x$ .

It is given that $\frac{2}{3}$ of a number, i.e. $\frac{2}{3} x$ ,
$20$ less than the original number, i.e. $x - 20$ .

The expression can be written as,

$\frac{2}{3} x = x - 20$
$∴ x = 60$

Therefore, the number is $60$ .

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Similar questions

2/3 of a number is less than the original number by 20.Then which is the number

Q. Mark the correct alternative in the following question:

\frac{2}{3}

of a number is less than the original number by 20. The number is

(a) 30 (b) 40 (c) 50 (d) 60

Q. What is the number if two-thirds of a number is 20 less than the original number?

\frac{2}{3}

of a number is 20 less than the original number. Find the number.

The marks obtained by $40$ students of a class are given below :
$80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70,$
$10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,$ $50, 80,$
$60, 70, 40, 50, 60, 90, 60, 40, 40, 60$ , and $60$

How many numbers are less than

35

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If 23 of a number is 20 less than the original number, then the number is

The correct option is A 60Let the number be x.It is given that 23 of a number, i.e. 23x, 20 less than the original number, i.e. x−20.The expression can be written as,23x=x−20∴x=60Therefore, the number is 60.

If $\frac{2}{3}$ of a number is $20$ less than the original number, then the number is

The correct option is A $60$
Let the number be $x$ .

It is given that $\frac{2}{3}$ of a number, i.e. $\frac{2}{3} x$ ,
$20$ less than the original number, i.e. $x - 20$ .

The expression can be written as,

$\frac{2}{3} x = x - 20$
$∴ x = 60$

Therefore, the number is $60$ .