Kenny is thinking of two numbers greater than 10. He says: ""The highest common factor (HCF) of my two numbers is 7 The lowest common multiple (LCM) of my two numbers is 84"" Write down the two numbers that Kenny is thinking of.
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10
Answer:
14,42
21,28 possible choice
Step-by-step explanation:
given the lcm of the 2 no.s = 7
so, we take the 2 no.s be 7m and 7n , where m , n are any natural no.
=> 7m * 7n = 7 * 84
=> mn = 84/7 = 12
=> m is a factor of 12
=> m can take values 1,2,3,4,6,12 and so is the case of n
=> the possible values of the 2no.s are,
7*1 , 7*12 => 7,84
7*2,7*6=> 14,42
7*3,7*4=> 21,28
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