Question

the HCF LCM numbers are 6 and 280 respectively if one of the number is 30 find the other number

Answer 1

let the required number be 'a'

we know that,

HCF x LCM= Product of two numbers

6 x 280= 30 x a

a= 6 x 280/30

a= 2 x 28

a= 56

the other number is 56

Answer 2

a=30
b=x
l.c.m=280
h.c.f=6
then
a×b=l.c.m×h.c.f
$30 \times x = 6 \times 280 \\ x = 6 \times 280 \div 30 \\ \\ x = 1680 \div 30 \\ \\ x = 56$
x=56