4)The sum of the digits of a two-digit number is 17 and the difference between
the digits is 1. What is the two digit number?
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- first digit = 9
- second digit = 8
Step-by-step explanation:
Given :-
- The sum of the digits of a two-digit number is 17 .
- The difference between
- the digits is 1 .
To find :-
- the two digit number .
Solution :-
- Let first digit number = x
- Let second digit number = y
A.T.Q.
The sum of the digits of two digit number = 17 .
Therefore,
x + y = 17 ............eq.(1)
Also,
Difference between the digits = 1
Therefore,
x – y = 1 ............eq.(2)
Add eq.(1) and eq.(2) we get --
x + y = 17
x – y = 1
2x = 18
x = 18/2
x = 9
Put the value of x = 9 in eq.(1) we get --
x + y = 17
9 + y = 17
y = 17 – 9
y = 8
So, the first number = 9
Second number = 8
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