Question

22. The HCF and LCM of two numbers are 173 and 6055 respectively. If one of the numbers is
1211, find the other.
23. Find the estimated product for the following​

Answer 1

Given:-

• H. C. F of two numbers = 173

• L. C. M of two numbers = 6055

• One number is = 1211

To Find :-

• Second Number

Solution:-

• Let second number be x

Then,

We know that,

H. C. F × L. C. M = Product of two numbers.

So,

Put the above given values in this formula, we get

$= > 173 \times 6055 = 1211 \times x \\ = > x = \frac{173 \times 6055}{1211} \\ = > x = 173 \times 5 \\ = > x = 865$

So,

• Second Number is = x = 865

Answer 2

$\Large{\orange{\underline{\underline{\bf{\red{Given}}}}}}$

The HCF and LCM of two numbers are 173 and 6055 respectively. If one of the numbers is 1211, find the other

$\Large{\orange{\underline{\underline{\bf{\red{Find\:out}}}}}}$

Find the other number

$\Large{\orange{\underline{\underline{\bf{\red{Solution}}}}}}$

As we know that

LCM × HCF = Product of two numbers

Let the other number be a

$\implies\sf 6055×173=1211×a$

$\implies\sf a=\Large\frac{6055×173}{1211}$

$\implies\sf a = 865$

$\Large{\bf{\boxed{\blue{a=865}}}}$

$\Large{\orange{\underline{\underline{\bf{\red{Verification}}}}}}$

LCM × HCF = Product of two numbers

LHS

LCM × HCF

= 6055 × 173 = 1047515

RHS

Product of two numbers

= 1211 × 865 = 1047515

$\therefore$ LHS = RHS verified