when 3738,5659 and 9501 are divided by the greatest possible number x,the reminder in each case is y.what is the sum of x and y?
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x + y = 3738
Step-by-step explanation:
3738 = Ax + y
5659 = Bx + y
9501 = Cx + y
=> (9501 - 5659) = ( C- B) x
=> 3842 = ( C- B) x
5659 - 3738 = (B - A)x
=> 1921 = (B - A)x
3842 & 1921
have HCF as 1921
x = 1921
3738 = 1921 * 1 + y
=> y = 1817
x = 1921
y = 1817
x + y = 1921 + 1817
= 3738
sum of x and y = 3738
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