Question

वह बड़ी से बड़ी संOया Pात कQिजये िजससे 70 और 125 को भाग करने पर Kमश: 5 तथा 8 शेष

बचता है l​

Answer 1

SOLUTION

TO DETERMINE

The largest number, dividing 70 and 125, resulting in 5 and 8 remainder respectively

EVALUATION

Here the given numbers are 70 & 125

We have to find the largest number, dividing 70 and 125, resulting in 5 and 8 remainder respectively

So the required number

= LCM of ( 70 - 5 ) & ( 125 - 8 )

= LCM of 65 & 117

Now

$65 = 5 \times 13$

$117 = 3 \times 3 \times 13$

Now LCM of 65 & 117 = 13

Hence the largest number, dividing 70 and 125, resulting in 5 and 8 remainder respectively is 13

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Answer 2

$\huge\underline{\bf \orange{AnSweR :}}$

Here the given numbers are 70 & 125

So the required number :-

→ LCM of ( 70 - 5 ) & ( 125 - 8 )

→ LCM of 65 & 117

Now,

• 65 = 5×13
• 117 = 3×3×13

Now LCM of 65 & 117 = 13 Ans.