Question

the digits of a 3 figure number are consecutive odd numbers the number is 51 less than 30 times the sum of its digits what is the number

Answer 1

Answer:

The 3-figure number is 579.

Step-by-step explanation:

Consider “x” be an odd integer at hundredths place of the 3-digit number. Because the next two numbers are consecutive odd integers, lets take them as “x+2” and “x+4”.  

The 3-digit number will be (100x + 10(x+2) + (x+4)).

Given equation is,

30 (x + x+2 + x+4) – 51 = {100x + 10(x+2) + (x+4)}

Or, 30(3x + 6) – 51 = {100x + 10x + 20 + x + 4}

Or, 90x + 180 – 51 = 111x +24

Or, 180 – 51 – 24 = 111x – 90x

Or, 21x = 105

Or, x = 105/21 = 5

Therefore, x+2 = 5 +2 = 7 and x+4 = 5 + 4 = 9.

The 3-digit number will be {(100 * 5) + 10(5+2) + (5+4)} = 500 + 70 + 9 = 579

Hence, the 3-digit number is 579.

Answer 2

Step-by-step explanation:

3 figure number is 579

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