Question

can two numbers have can two numbers have 15 as their HCF and 200 as their LCM explain ​

Answer 1

since they would both have the number intheir prime factorization. 320/15 = 21 1/3. So the LCM is not divisible by the HCF, therefore it is not possible for two numbers to have 15 as their HCF and 320 as their LCM

Answer 2

Answer:

Let the ade of A be a and B be b.

a = 2b……….(1)

Five years ago

A’s age was a-5 and B’s age was b-5

a-5 = 3(b-5)

a-5 = 3b -15………(2)

We have to solve two linear equations (1) & (2)

Substituting value of a =2b in (2)

2b -5 = 3b - 15

b = 10 & a = 20

So ages of A & B are 20 & 10 years respectively.