I am a number between 200 and 300.i am divisible by 3.if you subtract 7 from me, you can devide me by 10 and 20. if you add 3 to me, I am divisible by 9. what number am I?
Answers
Answer:
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Step-by-step explanation:
This will be a number between 200 and 300 that is of the form 20x+7
This is because the number has to be divisible by 20 and by 10 when you subtract 7 from it.
Our choices are: 207, 227, 247, 267, 287
The ones divisible by 3 are 207 and 267
Adding 3 to each gives 210 and 270... 270 is divisible by 9
The number is 267
Note that 267 is divisible by 3
267-7=260 which is divisible by 10 and 20
267+3=270 which is 9(30)
Step-by-step explanation:
This will be a number between 200 and 300 that is of the form 20x+7
This is because the number has to be divisible by 20 and by 10 when you subtract 7 from it.
Our choices are: 207, 227, 247, 267, 287
The ones divisible by 3 are 207 and 267
Adding 3 to each gives 210 and 270... 270 is divisible by 9
The number is 267
Note that 267 is divisible by 3
267-7=260 which is divisible by 10 and 20
267+3=270 which is 9(30)