Question

Thr product of two numbers is 5476. if the hcf of these no is 37. the greater no is

Answer 1

 Let the numbers be 37a and 37b. Then , 37a x 37b =4107  => ab = 3.

 Now co-primes with product 3 are (1,3)

 So, the required numbers are (37 x 1, 37 x 3) i.e, (37,111).

 Therefore, Greater number = 111.

Answer 2

Concept-

HCF is the highest common factor. 37 is a common factor for 2 numbers. Take LCM as x and find the product of 2 numbers and get the value of x and then find the largest number.

Given-

The product of 2 numbers is given as 5476

The HCF of these numbers is given as 37.

Find-

Find the greatest number.

Solution-

Let us assume that  LCM = x and HCF = 37.

HCF × LCM = Product of 2 numbers.

∴37x = 5476

∴x = 5476 / 37

∴ x = 148

So , 2 numbers are 37 and 148

Therefore , Greatest number = 148

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