Question

H. C. F ND L. C. M OF TWO NUMBERS ARE 8nd 96 .if one num is 24 .what is the other number

Answer 1

We know that the product of any two numbers is equal to the product of their LCM and HCF ⤵


↪ product of two numbers = LCM × HCF






Putting value from the question,

8 × 96 = 24 × other number

$\frac{8 \times 96}{24} = other \: number \\ \\ \\ = > \frac{8 \times \cancel{96} \: \: ^{4} }{ \cancel{24}} = other \: number \\ \\ \\ = > 8 \times 4 = \: other \: number \\ \\ \\ \bold{ = > 32 = other \: number}$





Hence, Other number is 32

Answer 2

given

HCF and LCM of two numbers 8 and 96

one number = 24.

LCM x HCF = product of two numbers

putting the values

8 x 96 = 24 x other number

768 = 24 x other number

other number = 768 ÷ 24 = 32.

Answer - other number = 32.