Question

Sum of lcm and hcf of two numbers are 585 and their products are 24300.If the ratios of that numbers are 4:3 find the numbers

Answer 1

answer:

for this question the line 'Sum of lcm and hcf of two numbers are 585' is not needed!

let the numbers be 4x and 3x

product = 24300

4x*3x=12x^2

12x^2=24300

x^2=24300/12

x^2=2025

x=45

so the numbers are 4*45= 180 and 3*45=135

answer is 180 and 135