Question

What is the larger number? Quantity
I. Difference between the two numbers is 21 and LCM and HCF of those numbers are 70 and 7 respectively. Quantity
II. The HCF and LCM of two numbers are 12 and 72 respectively. If the sum of the two numbers is 60.

Q: Answer-What is the larger number? Quantity I. Difference between the two numbers is 21 and LCM and HCF of t...

Quantity I. let the larger number be x Smaller number x-21 xx 21 70 7 x2 - 21x 490 x2 - 21x 490 0 x-35x14 0 x 35 Larger number 35 and Smaller number 14 Quantity II. Let the larger number be x Smaller number 60 x x 60-x 12 72 x2 - 60x 864 0 x-36x-24 0 x 36, 24 Larger number 36 Smaller number 24 Hence, Quantity I Quantity II.