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Q.

The digits of a three-figure number are consecutive odd numbers. The number is 51 less than thirty times the sum of its digits. What is the number?


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a

975

b

579

c

759

d

597 

answer is B.

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Detailed Solution

Concept: Algebra can be defined as generalization of arithmetic in which alphabets representing numbers are combined according to the rules of arithmetic to form an equation.
To find the 3-digit consecutive odd number
Let the digits of number be a-2, a, a+2
Given,
The number is such that it is 51 less than 30 times the sum of its digits
= 100(a-2) +10a+a+2 = 30(a-2+a+a+2) -51
=100a -200 +11a+2 = 90a -51
= 21a = 48
= a = 7
So, the digits are a-2 = 5 ; a = 7 ; a+2 = 9
= 579
Hence, the correct option is 2) 579
 
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