the differance of two positive numbers is 72 and their quotent obtained on divided one by the other is 4. find the numbers.
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Appropriate Question :
- The difference of two positive numbers is 72. The quotient obtained on dividing the one by the other is 4. Find the numbers.
Answer :
- The numbers are 24 and 96.
Given :
- The difference of two positive numbers is 72
- The quotient obtained on divided one by the other is 4.
To find :
- The numbers
Solution :
- Let the first number be x
- Let the second number be x + 72
According to question :
➞ 72 + x / x = 4
➞ 72 + x = 4x
➞ x - 4x = 72
➞ 3x = 72
➞ x = 72/3
➞ x = 24
Finding the numbers :
First number :
➞ x
➞ 24
Second number :
➞ x + 72
➞ 24 + 72
➞ 96
Hence,The numbers are 24 and 96.
Verification :
➞ 72 + x / x = 4
➞ 72 + 24 / 24 = 4
➞ 96/24 = 4
➞ 4 = 4
Hence , Verified.
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