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?
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