the numbers 23794 and 25273 are divided by a number x such that 50<x>100, than the remainder in each case is Y. Find Value of (x-y)?
Answers
Answer:
Step-by-step explanation:
As per problem,
25273-23794=1479 is divisible by x.
Now
1479=3×17×29, therefore x=51 and 87, since greater than 50.
Therefore y=28 since 23794=51×466+28
And y=43 , since 23794=87×273+43
Values of x - y = 23 & 44
Step-by-step explanation:
the numbers 23794 and 25273 are divided by a number x such that remainder = Y
25273 - Y = xA Eq1
23794 - Y = xB Eq2
A & B are integers
Eq1 - Eq2
=> (25273 - Y) - (23794 - Y) = xA - xB
=> 25273 - 23794 = x(A - B)
=> 1479 = xC ( c is an integer) C = A - B
1479 = 3 * 17 * 29
=> 1479 = 51 * 29 or 87 * 17
x = 51 or 87
if x = 51 then Y = 28
x = 87 then Y = 43
x - y = 51 - 28 = 23
87 - 43 = 44
Values of x - y = 23 & 44
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