Question

The LCM of two numbers is 138 . but their GCD is 23 . the numbers are in the ratio 1 : 6 . Which is the largest number among the two ?

Answer 1

Answer:

138

Step-by-step explanation:

138 is the answer

let the number be x,6x

so the multiplication will be 138*23

6x^2=138 on solving It you will get x as 23 and the greater number will be 138

Answer 2

Given :-

• LCM of Two Numbers = 138.
• GCD of Two Numbers = 23.
• Ratio of Two Numbers = 1:6

To Find :-

• Largest Number among The two ?

Formula Used :-

• LCM * GCD = First Number * Second Number .

Solution :-

Let us Assume That, Two Numbers are x & 6x Respectively.

Than,

→ First Number * Second Number = LCM * GCD

Putting Values we get :-

→ x * 6x = 138 * 23

→ 6x² = 138 * 23

Dividing Both sides by 6

→ x² = 23 * 23

→ x² = 23²

Square - Root Both Sides,

→ x = 23

Hence,

→ The Largest Number Among Two = 6x = 6 * 23 = 138 (Ans.)