THE SUM OF THE DIGITS OF A TWO DIGIT NUMBER IS 9
AFTER INTERCHANGING THE DIGIT. THE NEW NUMBER IS 45 MORE THAN THE ORIGINAL NUMBER.
FIND THE ORIGINAL NUMBER
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THE SUM OF THE DIGITS OF A TWO DIGIT NUMBER IS 9
AFTER INTERCHANGING THE DIGIT. THE NEW NUMBER IS 45 MORE THAN THE ORIGINAL NUMBER.
FIND THE ORIGINAL NUMBER
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Answer:
Step-by-step explanation:
Step-by-step explanation:
Let the units digit be y and the units digit be x
Now,
ATQ;
y + x = 9 ----------------(1)
Any two digit no. can he expressed in the form 10a + b in which b is the units digit and a is the tens digit. This no. is 10x + y
new number after interchanging the digits is 10y + x
ATQ;
10y + x = 10x + y + 45
=> 10y - y + x - 10x = 45
=> 9y - 9x = 45
=> y - x = 5. --------------(2)
Add (1) and (2)
2y = 14
=> y = 7
Now
=> x = 9 - 7
= 2
Since the no. is xy or 10x + y
the no. is 27