Question

the L.C.M of two numbers is 630 and their H.C.F is 9. If the sum of the numbers is 153, the difference is​

Answer 1

Answer:

90 and 63.

Step-by-step explanation:

Let the numbers be a and b.

Given,

L.C.M (a, b) = 630

H.C.F (a, b) = 9

a + b = 153

We know that

L.C.M (a, b) × H.C.F (a, b) = a × b

Putting the values we get:

a × b = 630 × 9

ab = 5670 ...(i)

Given that

a + b = 153

We can write it as

a = 153 - b

Substituting the value of a in equation (i) we get:

(153 - b)(b) = 5670

153b - b² = 5670

- b² + 153b - 5670 = 0

b² - 153b + 5670 = 0

After Factorisation we got the value:

The two numbers a and b are 90 and 63.

Answer 2

Hey there

refer to attachment