The ratio of two numbers is 2:5 If the product of their LCM and HCF is 2560, then the - Maths - Comparing Quantities

Question

The ratio of two numbers is 2:5 If the product of their LCM and HCF
is 2560, then the sum of the numbers is

Nuha · Answer

Ratio of two numbers =2:5
Let the numbers are 2x and 5x
Hcf (2x,5x)=x
Lcm(2x,5x)=140
Product of two numbers =lcm×hcf
2x*5x=140*x
x=(140*x)/(10*x)
x=14
Therefore
Required two numbers are
2x=2*14=28,
5x=5*14=70

Let the numbers are 2x and 5x
Hcf (2x,5x)=x
Lcm(2x,5x)=140
Product of two numbers =lcm×hcf
2x*5x=140*x
x=(140*x)/(10*x)
x=14
Therefore
Required two numbers are
2x=2*14=28,
5x=5*14=70

The ratio of two numbers is 2:5. If the product of their LCM and HCF is 2560, then the sum of the numbers is...