A number consists of two digits whose sum is 8 if 18 is added to the number its digit are reversed. Find the number
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Given :
• A number consists of two digits whose sum is 8.
• If 18 is added to the number its digit are reversed.
To calculate :
• The original number.
Calculation :
Let the original number be 10a + b.
According to the question :
[ Since, the sum of the two digits of a number is 8.]
So,
. . . . . . . . ( Eq. 1 )
Also, according to the question:
. . . . . . . . . (Eq. 2)
[Since, if 18 is added to the number its digit are reversed.]
Now, substitute the value of b from equation 1 in equation 2 in order to find the value of a .
Calculating the value of 'a' :
Calculating the value of 'b' :
Now, substitute the value of a in the equation 1 to find the value of b.
Now, the original number :
Therefore, the number is 35.
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