The units digit of a two - digit number is 3 and seven times the sum of the digit is the number itself. find the number
Answers
Answered by
3
The number is 63.
Proof:
All two digit numbers having 3 as the units digit are: 13, 23, 33, 43, 53, 63, 73, 83 and 93.
63 is the only two-digit number having 3 as the units digit.
6+3 = 9
9 x 7 = 63
3 is in the units digit of 63
Proof:
All two digit numbers having 3 as the units digit are: 13, 23, 33, 43, 53, 63, 73, 83 and 93.
63 is the only two-digit number having 3 as the units digit.
6+3 = 9
9 x 7 = 63
3 is in the units digit of 63
Answered by
1
Answer:
Unit of two digit number is 3
Let the tens digit number be x
The Number will be 10x + 3
Sum of two digit number = x + 3
According to the question now :
7(x + 3) = 10x + 3
7x + 21 = 10x + 3
21 - 3 = 10x - 7x
18 = 3x
x = 18/3
x = 6
Therefore, the tens digit number is 6.
Hence,
- The required number = 10x + 3 = 10(6) + 3 = 63.
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