Math, asked by kapilaaravikumar, 25 days ago

if 2/3 of a number exceeds it's 4/7 by 1,find the number
pls say the correct answer​

Answers

Answered by mohantydebaditya
3

Answer:

21

Step-by-step explanation:

let the number =x

1/3 of a number = x/3

2/7 of the number = 2x/7

given

1/3 of a number exceeds its 2/7 by 1

x/3 - 2x/7 =1

do the lcm

lcm = 3*7 =21

(7x-6x)/21 =1

⇒x/21 =1

∴ x= 21

required number = x =21

HOPE IT HELP BRO! :)

Answered by GulabLachman
1

Given: 2/3 of a number exceeds its 4/7 by 1

To find: The given number

Explanation: Let the number be x.

When a number exceeds another number by 1 , it means the first number is greater than the second number by 1 . In this case, the equation looks like:

First number- Second number = 1

In this case, first number is 2/3 of x = (2/3)x

Second number= (4/7)x

According to question,

(2/3)x - (4/7)x= 1

 \frac{14 x- 12x}{21}  = 1

=> 2x= 21

=> x = 21/2

= 10.5

Checking, 2/3 of 10.5 = 7 and 4/7 of 10.5= 6. It is clear that 7-6 = 1

Therefore, the given number is 10.5

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