Question

the ratio of two number is 5:7 and their l.c.m is 175. find the number

Answer 1

Let the numbers be 5a and 7a

HCF = a

LCM = 175

Product of numbers = LCM *HCF

=> 5a *7a = 175 * a

=> 35a = 175

=> a = 5

First number = 25

Second number = 35

Answer 2

Answer:

25 and 35

Step-by-step explanation:

We are given that the ratio of two numbers is 5:7

Let the ratio be x

Let the two numbers be 5x and 7x

The HCF of 5x and 7x is x

The LCM of 5x and 7x is 35x

We are given that the LCM of given two numbers is 175

So,$35x =175$

$x =\frac{175}{35}$

$x =5$

So, the numbers are $5x = 5\times 5 = 25$ and $7x = 7\times 5 = 35$

Thus the numbers are 25 and 35 .