Henry counted 350 lockers in his school.Hayley counted 403 lockers in her school. How does the 3 in 350 compare to the 3 in 403?
2 answers:
Answer: The value of 3 in 350 is 10 times the value of 3 in 403 .
Step-by-step explanation:
Given : Henry counted 350 lockers in his school.
Hayley counted 403 lockers in her school.
The value of 3 in 350 is 3 hundreds and 300 and the value of 430 is 3 tens and 30.
Since 300 is 10 times 30 because
Then, the value of 3 in 350 is 10 times the value of 3 in 403 .
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A generic odd number can be written as
Since there is an odd number every two numbers, three consecutive odd numbers will be
Now let's make up the equations: the sum of the first two is
And 27 less than 3 times the largest is
These two must be the same, so we have
Subtracting 4k and 3 from both sides gives
Which means that the problem has no solution.
To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even
On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).
So, the left hand side is even, and the right hand side is odd. They can't be the same number.