Question

Q-1) Given that hcf of two numbers is 23 and their lcm is 1449 . if one of the numbers is 161 find other.​

Answer 1

Given:

• HCF of two numbers is 23
• LCM is 1449.
• One Number is 161

To Find:

• Other number

Solution:

• Let other Number be x

We know that,

LCM × HCF = Product of two numbers

⟼ 1449 × 23 = 161 × x

⟼ 33327 = 161 × x

⟼ x = 33327/161

⟼ x = 207

Verification:

LCM × HCF = Product of two numbers

⟼ 1449 × 23 = 161 × 203

⟼ 33327 = 33327

∴ The other number is 207.

Answer 2

$\huge\boxed{\fcolorbox{white}{pink}{Answer:⇢}}$

⠀⠀⠀

Given :⇢

• Hcf of two numbers is 23.
• Lcm is 1449
• One number is 161

⠀⠀⠀

To Find :⇢

• Other Number.

⠀⠀⠀

Solution Be :⇢

• Let assume that other No. be x .

⠀⠀⠀

We Know That.,

• ⇢ Lcm × Hcf = Product of two ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀numbers

• ⇢ 1449 × 23 = 161 × X

• ⇢ 33327 = 161 × X

• ⇢ X = 33327 ÷ 161

• ⇢ X = 207

⠀⠀⠀

Hence.,

• ⇢ Lcm × Hcf = Product of two ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀numbers

• ⇢ 1449 × 23 = 161 × 207

• ⇢ 33327 = 33327

⠀⠀⠀

∴ The other number is 207.

_____________________________