A two-digit number has 3 in its unit digit. The sum of its digit is one-seventh of the number itself. What is the number?

A 73
B 63
C 53
D 83

Correct Answer: 63

Since it is in the form of a two digit number, then we can write it as a decimal expansion with a three in the units place.Let y = 10x + 3We also know that x + 3 = y⋅17x + 3 = y⋅17This means if we multiply both sides by 7 we get:y = 7(x + 3)y = 7(x + 3)y = 7x + 21y = 7x + 21Since these are both equal to y, we can set them equal one another to find x, the tens digit value:7x + 21 = 10x + 37x + 21 = 10x + 3−3x + 21 = 3−3x + 21 = 3−3x = −18−3x = −18x = 6x = 6y = 10x + 3 = 10(6) + 3 = 63
Bissoy MCQ
#গণিত #পাটিগণিত প্রাথমিক ধারণা (Basic Concept) #National Bank Ltd #National Bank Ltd - Officer - 11.09.2009

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