3 I like the numbers 4 and 5 I also like any number that can

3) I like the numbers 4 and 5. I also like any number that can be added together using 4s and 5s. I.e. 9 = 4+5. 40 = 5 + 5 + 5 + 5 + 5 + 5 + 5 +5. How many number have this property from 1 to 1000?

Solution

lets start by thinking how many numbers cannot be get by adding 4 and 5 , these are 1,2,3,6,7, and 11. All other can be get

like

4+4=8 , 4+5= 9 , 5+5=10,4+4+4=12, 4+4+5= 13, and so on....

So 1000-6 = 994 number have this property

3) I like the numbers 4 and 5. I also like any number that can be added together using 4s and 5s. I.e. 9 = 4+5. 40 = 5 + 5 + 5 + 5 + 5 + 5 + 5 +5. How many numb

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