Question

If the sum of two numbers is 55 and the hcfand lcm of these numbers are 5 and 120 respectively, then what are the two numbers? *

Answer 1

Answer:

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Answer 2

The numbers are 15,40

Step-by-step explanation:

Let the two numbers be x and y

The sum of two numbers is 55

So, x+y=55---A

$HCF \times LCM = \text{Product of two numbers}$

$5 \times 120 =xy\\600=xy$---B

Find the value of x from B and substitute in A

x+y=55

$\frac{600}{y}+y=55\\y^2+600-55y=0\\y^2-40y-15y+600=0\\y(y-40)-15(y-40)=0\\(y-15)(y-40)=0\\y=15,40$

Hence the numbers are 15,40

#Learn more:

HCFand LCMof two numbers is 9 and 108 respectively. If one of the numbers is 36, find the other number.

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