The product of two 3-digit numbers is 28 749. The H.C.F. of these two numbers is 37. Find the difference of these two numbers.?

2020-09-16 12:51 am

回答 (1)

2020-09-16 1:39 am
The H.C.F. of the two numbers is 37.
Then, let 37m be the greater number, and 37n be the smaller number.

37m × 37n = 28749
m × n = 21
m × n = 7 × 3
Then, m = 7 and n = 3

The difference of these two numbers
= 37 × 7 - 37 × 3
= 259 - 111
= 148


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