5. Use the following clues to find five different numbers.CLUES: a. The sum of the five numbers is 91. Send to musb. The last number is triple the first number.c. The last 3 numbers are consecutive.d. Only one number is odd.e. The third number is the sum of the first two numbers.What are the numbers?
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answer:
There are (
4
8
)=70
numbers of the form 1x and (
4
7
)=35
numbers of the form 2x. Since 70<97<70+35 the first digit is 2.
There are (
3
6
)=20
numbers of the form 23x and (
3
5
)=10
numbers of the form 24x. Since 70+20<97<70+20+10 the first two digits are 24.
There are (
2
4
)=6
numbers of the form 245x. Since 70+20+6=96
the number we are after is the first number of the form 246x, which is 24678.
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It follows that (B) is true.
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