4. The hundreds digits of two numbers are 4 and 5. What could be the hundreds digit of their sum?
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let the number be abcd.
According to the statement:
a+c=4
b+d=15
d−a=7
From the equations, following conclusions can be drawn:
a can be 1,2,3,4 from a+c=4, but a cannot be 3 and 4 from d−a=7 as d exceeds 9, which is not possible.
For a=1, the number is 1738 and for a=2 the number is 2629
Hence, the required number is 1738 as we were supposed to find the least value.
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