sum of digits of two -digit number is 9. the number obtained by interchanging the digit exceeds the given number by 27 . find the given number
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sum of digits of two -digit number is 9. the number obtained by interchanging the digit exceeds the given number by 27 . find the given number
answer please
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Answer:
Step-by-step explanation:
Smaller number = 17
larger number = 26
Given numbers are (Let) a, b., let “a” be the smaller number and “b” be the larger..
given “a + b = 43” this is eq 1
Given “The smaller number is 9 less than the larger number”
=> b - a = 9
so, “b = 9 + a” this is eq 2
Substitute eq 2 in 1
This gives a + 9 + a = 43
=> 2a + 9 = 43
=> 2a = 43 – 9
=> 2a = 34
so, “a = 17” and “b=26”:
2