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AMIT TUSHIR

· started a discussion

· 1 Months ago

doubt (Question: 279579.0 )

why 259 is not the answer?

Question:

Sum and difference of the LCM and HCF of two numbers are 592 and 518 respectively. If the sum of two numbers be 296. Then larger number is:

Options:
A)

185

B)

259

C)

196

D)

None of these

Solution:

Ans: (a)

Let LCM and HCF be h and k respectively.

∴ h + k = 592 and h – k = 518

So, h = 555, k = 37

Let the number are 37a, 37b respectively.

37a + 37b = 296

a + b = 8

Possible pair of co-prime numbers are (1, 7) and (3, 5).

So numbers are (37 × 1, 37 × 7) and (37 × 3, 37 × 5) = (37, 259) and (111, 185)

So, largest number is 185.

Vikas ojha

· commented

· 1 Months ago

Yet to be approved!

ASHISH KUMAR DADHICH

· commented

· 1 Months ago

Yet to be approved!

manjeet

· commented

· 1 Months ago

Yet to be approved!

Goga Gigi

· commented

· 1 Months ago

Yet to be approved!

Ashish

· commented

· 1 Months ago

37and259 lcm is 259 not 555
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