Question

Hcf and lcm of two numbers is 15 and 450 respectively . if one number is 75 what is the other one

Answer 1

Answer:

5/2

Step-by-step explanation:

Second number is 90.

Given that:

Second number.

Solution:

Let us assume:

The second number be x.

As we know that:

The product of LCM and HCF of two numbers is equal to the products of the numbers.

Hence,

Substituting the values,

Multiplying the numbers,

Transposing 75 from RHS to LHS and changing its sign,

Dividing the numbers

Hence,

x = 90

Therefore,

Second number is 90.

Verification:

LHS:

↪ 15 × 450

↪ 6750

RHS:

↪ 90 × 75

↪ 6750

As,

LHS = RHS

Hence, Verified.

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Answer 2

Answer:

• Second number is 90.

Step-by-step explanation:

Given that:

• HCF and LCM of two number is 15 and 450 respectively.
• First number is 75.

To Find:

• Second number.

Solution:

Let us assume:

• The second number be x.

As we know that:

• The product of LCM and HCF of two numbers is equal to the products of the numbers.

Hence,

$\sf{\longrightarrow HCF\times LCM=Product\;of\;the\;numbers}$

Substituting the values,

$\rm{\longrightarrow 15\times 450=75\times x}$

Multiplying the numbers,

$\rm{\longrightarrow 6750=75x}$

Transposing 75 from RHS to LHS and changing its sign,

$\rm{\longrightarrow \dfrac{6750}{75}=x}$

Dividing the numbers

$\rm{\longrightarrow90=x}$

$\rm{\longrightarrow x=90}$

Hence,

• x = 90

Therefore,

• Second number is 90.

Verification:

LHS:

↪ 15 × 450

↪ 6750

RHS:

↪ 90 × 75

↪ 6750

As,

• LHS = RHS

Hence, Verified.