Question

le GCD of two numbers is 17 and their LCM is 140. If one of the numbers is 20, find the
other number. (3 marks)​

Answer 1

Answer:

119

Step-by-step explanation:

Answer 2

The given question is GCD of two numbers is 17 and their LCM is 140. If one of the numbers is 20, find the

other number.

The GCD is 17

The LCM is 140

one of the numbers is 20

then the other number is x. we have to find the value of x.

product of two numbers = product of GCD and LCM

$x \times 20 = 17 \times 140 \\ x = \frac{17 \times 140}{20} \\ x = 17 \times 70 \\ x = 119$

Therefore , the other number is 119

$119 \times 20 = 17 \times 140 \\ 2380 = 2380$

Hence the condition is also verified for LCM and GCD.

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