Question

The ratio of two numbers is 5 : 7 and their lcm is 105. If x is the ratio of sum of the numbers and difference of the numbers. What is the value of x?

Answer 1

Step-by-step explanation:

we know ,,,lcm*hcf=multiple of two numbers

let,,the numbers are 5p &7p

then,5p*7p=105*p

35p=105

p=3

then the numbers 15&21

sum of this number=36

difference Between them 6

Answer 2

Answer:

Ratio of sum of the numers and difference of numbers is 6 :1

Step-by-step explanation:

Given:

Ratio of two numbers is 5 :7

Let the no's are 5p and 7p

L.C,M of 5p and 7p= 5×7× p

                               =35p

It is given that L.C,M of these 2 no's = 105

∴ 35p= 105

      p=105/35=3

Numbers are 5×3 and 7×3 i.e 15 and 21

Sum of number's = 15+21=36

Difference of numbers= 21 - 15= 6

Ratio of sum of no's and difference of no's= sum of no's /difference of no's

                                                                        = 36 /6

                                                                        = 6/1= 6 : 1