Question

pls solve with method....

Answer 1

ANSWER:-

The other number is 124


STEP-BY-STEP EXPLANATION

Given :-

LCM = 45 times HCF

One number = 225

LCM + HCF = 1150

Let the other number be x

Now,

HCF + LCM = 1150

HCF + 45 HCF = 1150
(since, lcm is equal to 45 times the hcf)

46 HCF = 1150

HCF = 1150/46 = 25

So,
Obtaining value of LCM :-

LCM = 45 HCF = 45 * 25 = 1125


Now ,

We know that :-

HCF * LCM = PRODUCT OF 2 NUMBERS


So,

$225 \times x = 1125 \times 25 \\ \\ x = \frac{1125 \times 25}{225} \\ \\ x = \frac{1125}{9} \\ \\ x = 125$

Hence,

The other number is 125.