22. Given three numbers, first is twice the second and is half of the third. If the average
of three numbers is 56, then the difference of first and third number is
(A) 12
B. 24
C 36
D 48
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Answer :
- The difference of first and third number is 48
Given :
- Given three numbers , First is twice the second and is half of the third
- The average of three numbers is 56
To find :
- Difference of first and third number
Solution :
- Let the second number be x
Given that, First number is twice the second number so,
- First number be 2x
And also Given that, First number is half of third number so,
- Third number be 4x
Average of three numbers is 56.
According to question
➾ x + 2x + 4x / 3 = 56
➾ 7x/3 = 56
➾ 7x = 56 × 3
➾ 7x = 168
➾ x = 168/7
➾ x = 24
Now Finding the difference of First and third number :
➾ 2x - 4x
➾ 2x
➾ 2(24)
➾ 48
Hence , The difference of first and third number is 48
Verification :
➾ x + 2x + 4x / 3 = 56
➾ 24 + 2(24) + 4(24) / 3 = 56
➾ 24 + 48 + 96 / 3 = 56
➾ 168/3 = 56
➾ 56 = 56
Hence , Verified
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