The tens digit of a 2-digit number is less than the ones digit by 3. If the digits are reversed , the difference the two numbers is 27. If the sum of the digits is 11, find the number.
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2
Answer:
47
Step-by-step explanation:
47 is the answer
Let the number be 10a+b where a is the tens digit and b is the ones digit. Then we are given three equations:
> b−a=3
> (10b+a)−(10a+b)=27
> a+b=11
Notice that (2) simplifies to 9(b−a)=27 which is the same as (1). One of these is redundant.
Adding (1) to (3) we get 2b=14⇒b=7 and so a=4 and the number is 47 .
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Answer:
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Step-by-step explanation:
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