Question

What is the larger number? Quantity
I. Difference between the two numbers is 15 and LCM and HCF of those numbers are 90 and 15 respectively. Quantity
II. The HCF and LCM of two numbers are 5 and 100 respectively. If the sum of the two numbers is 45.

Q: Answer-What is the larger number? Quantity I. Difference between the two numbers is 15 and LCM and HCF of...

Quantity I. let the larger number be x Smaller number x-15 xx 15 90 xx 15 x2 - 15x 1350 x2 - 15x 1350 0 x-45x30 0 x 45 Larger number 45 and Smaller number 30 Quantity II. Let the larger number be x Smaller number 45 x x45-x 100 x 5 x2 - 45x 500 0 x-20x-25 0 x 20, 25 Larger number 25 Smaller number 20 Hence, Quantity I Quantity II.