Question

Two numbers are in the ratio 5:11. If their HCF is 13 and the LCM is 2145, then find the numbers.

Answer 1

LET NOS BE 5X , 11X

AS LCM × HCF = 5X. 11X
13× 2145 = 55 X.X
X= 507

NOS ARE 2535,5577

Answer 2

hey

here is your answers

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

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