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A number of two-digits has 3 for its unit's digit, and the sum of the digits is 1/7 of the number itself. Find the number .
Question

A number of two-digits has 3 for its unit's digit, and the sum of the digits is 1/7 of the number itself. Find the number .

A.

73

B.

63

C.

53

D.

43

Correct option is B


Unit digit of the number is 3.
Let the number of two digit be (10x + 3)
According to the question
(x + 3) = (10x + 3) × 1/7
⇒ 7 (x + 3) = (10x + 3)
⇒ 7x + 21 = 10x + 3
⇒ 10x - 7x = 21 - 3
⇒ 3x = 18
⇒ x = 18/3
⇒ x = 6
So, the number is = 10 × 6 + 3 = 63.

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