Question

When 489 and 604 are divided by n remainders are 9 & 4 respectively then find maximum value of n?​

Answer 1

Answer:

⇒ Let the two numbers be a and b and the divisor be d.

⇒

d

a

=35(Remainder) ---- ( 1 )

⇒

d

b

=30(Remainder) ----- ( 2 )

⇒

d

a+b

=20(Remainder) ----- ( 3 )

∴ d=(

d

a

+

d

b

)−

d

a+b

[ According to the set theory ]

∴ d=(35+30)−20 [ From ( 1 ), ( 2 ) and ( 3 ) ]

∴ d=45

∴ Required divisor is 45

Step-by-step explanation:

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