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If seven times a number is added to one-...

If seven times a number is added to one-fifth of itself, then five-sixth of the sum is equal to 30. Find the number

A

5

B

6

C

15

D

10

Text Solution

Verified by Experts

The correct Answer is:
a

Let the number be x
According to the problem
`(5)/(6) (7x + (x)/(5)) = 30`
`rArr (5)/(6) ((35 + x)(5)) = 30`
`rArr 6x = 30`
`x = 5`
Hence, the correct option is (a)
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