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If the 56\frac{5}{6}65​ of the number is 10 less than the number itself, then 75\frac{7}{5}57​ of the number is ___________.​
Question

If the 56\frac{5}{6} of the number is 10 less than the number itself, then 75\frac{7}{5} of the number is ___________.​

A.

72

B.

96

C.

60

D.

84

Correct option is D

Let the number be x.

5x6+10=xx5x6=10x6=10x=607x5=4205=84\frac{5x}{6} + 10 = x\\x- \frac{5x}{6} = 10\\\frac{x}{6}= 10\\x= 60 \\\frac{7x}{5} = \frac{420}{5} = 84​​

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