One of the products of a number is 7 times of the other one. What is the square of greater one if the number is 63?

Answer 1

n = a ∙ b

a = smaller number

b = greater number

One of the products of a number is 7 times of the other one mean:

b = 7 a

The number is 63 mean:

n = a ∙ b = 63

Replace b = 7 a in this equation.

a ∙ 7 a = 63

7 a² = 63

Divide both sides by 7

a² = 63 / 7 = 9

a = √9 = 3

b = 7 a = 7 ∙ 3 = 21

b² = 21² = 441