Question

the HCF and LCM of two numbers are 13 and 1989 respectively if one of the number is 117 find the other number ​

Answer 1

Answer:

221

Step-by-step explanation:

HCF×LCM=NO1×NO2

13×1989=117×NO2

25857=no2

117

therefore no2=221

Answer 2

Answer:

The answer is 221

Step-by-step explanation:

I think we know that the product of H.C.F and LCM of two numbers is equal to the product of two number

Mathematically

H.C.F of a and b × LCM of a and b = a× b

Then

Let the given number be a, a=117 and other number be b

13 × 1989 = a × b

13 × 1989 = 117 × b

25857 = 117 × b

$\frac{25857}{117}$ = $\frac{117b}{117}$

b = 25857 ÷ 117

b = 221

Thus other number is 221

I would check to see if it works.

117 = 3 x 3 x 13

221 = 13 x 17

H.C.F = 13

LCM = 3 x 3 x 13 x 17 = 1989

Success.