Question

The sum of two numbers is 45. Their difference is 1/9 of their sum. Their lcm is?

Answer 1

Answer:

Step-by-step explanation:

Let the two numbers be x, y.

x + y = 45 ---> EQ1.

x - y = 1/9(45)

x - y = 5 ---> EQ2.

Solve the two equations.

2x = 50

x = 25

Put x = 25 in EQ1.

25 + y = 45

y = 20

So, the two numbers are 20, 25 and their LCM is 100.

Answer 2

Step-by-step explanation:

Hey!!!!....here is ur answer

let the numbers are a and b

then....

a+b=45-------1

a-b=45×1/9

a-b=5--------2

adding equation 1 and 2

2a=45+5=50

a=25

now subtracting equation 1 and 2

2b=45-5=40

b=20

so the LCM of the numbers 20 and 25

20=5×4

25=5×5

Lcm=5×5×4=100

hope it will help you ☺