if 2/3 of a number exceeds it's 4/7 by 1,find the number
pls say the correct answer
Answers
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! :)
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
=> 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