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If the sum of one half and one fifth of ...

If the sum of one half and one fifth of a number exceeds one third of the number by `7(1)/(3)`, the number is

A

15

B

18

C

20

D

30

Text Solution

Verified by Experts

The correct Answer is:
C
Suppose the number is x
According to question
`(x)/(2)+(x)/(5)=(x)/(3)+7(1)/(3)`
`implies(5x+2x)/(10)=(x)/(3)+(22)/(3)`
`implies(7x)/(10)-(x)/(3)=(22)/(3)`
`implies(21x-10x)/(30)=(22)/(3)`
`implies11x=(22)/(3)xx30`
`:.x=(22)/(3)xx(30)/(11)=20`
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