Question

Two no.are in the ratio 15:11if their hcf is 13and lcm is2145 then find the no.

Answer 1

HCF = 13
LCM = 2145
Product of numbers = 13*2145 = 27885

Let number be 15x and 11x

Thus
15x(11x) = 27885
=> 165x^2 = 27885
=> x^2 = 169
=> x = 13

Numbers are 15x and 11x. Thus numbers are 195 and 143.

Answer 2

The ratio between numbers is 15:11.

So, let the numbers be 15x and 11x.

Their HCF = 13
LCM = 2145

As, we know Product of numbers = HCF × LCM

So, 15x × 11x = 13×2145

Or, 165x² = 13×2145

Or, x² = (13×2145)/165

Or, x² = 13×13

or, ✓x² = ✓13×13

or, x = 13

So the numbers are→

11x = 11×13 = 143

15x = 15×13 = 195

Answer→ The numbers are 143 and 195