Question

The HCF and LCM of two numbers are 7 and 210 respectively. If one of the numbers is 42. find the other number.
37
35
38
34

Answer 1

Answer:

let the numbers be X and Y

H.C.F×L.C.M=product of two given numbers

7×210=42×y

1470=42×y

*Y=35

Answer 2

Answer -

• The other number is 35.

To find -

• The other number.

Step-by-step explanation -

• Here, the LCM and HCF of two numbers are given to us. We have to find the other number if one of the numbers is 42.

Let -

• The other number be "x".

We know that -

$\bigstar \: \underline{\boxed{\sf Product_{(two \: numbers)} = HCF \times LCM}}$

Here -

• One of the numbers = 42.
• HCF = 7.
• LCM = 210.

Substituting the given values in this formula -

$\longrightarrow \: \tt42 \times x = 7 \times 210$

$\longrightarrow \: \tt 42x = 7 \times 210$

$\longrightarrow \: \tt 42x = 1470$

$\longrightarrow \: \tt x = \cancel{\dfrac{1470}{42}}$

$\longrightarrow \: \tt x = 35$

Hence -

• The other number is 35.

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