SOLUTION: 1. What is the number: It is a two digit number less than 50 The sum of its digits is 12 Their difference is 4. 2. what is the number: One of its dig

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Question 759578: 1. What is the number:
It is a two digit number less than 50
The sum of its digits is 12
Their difference is 4.
2. what is the number:
One of its digits is half the other
The number is greater than 50



Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
1. What is the number:
It is a two digit number less than 50
Let a and b be the digits.

"The sum of its digits is 12" translates as a%2Bb=12.
"Their difference is 4" translates as a-b=4.
That gives a a system of equations.
The system ----> the solution:
system%28a%2Bb=12%2Ca-b=4%29 --> system%28a=8%2Cb=4%29
WIth those two digits we can make 48 and 84, and only
highlight%2848%29 is less than 50

2. what is the number:
One of its digits is half the other
The number is greater than 50
With only those two conditions, there is more than one solution.
To make the number is greater than 50, the tens digit must be 5 or greater, so it cannot be half of another digit.
It must be that the units digit is half of the tens digit.
So, the tens digit is at least 5 and is an even number.
It could be 6 or 8, and the numbers could be
highlight%2863%29 or highlight%2884%29.