Two positive numbers are in the ratio 4:5. If the sum of the number is 126, the the smaller number ______?

Question

Two positive numbers are in the ratio 4:5. If the sum of the number is 126, the the smaller number is ______ and the larger number is_____? If the product of the number is 500, then the smaller number is______ and the larger number is ______?

Answer 1

4/9 of 126 = 56 is the smaller number

5/9 of 126 = 70 is the larger number

if product is 500

5x=4y

y=(5/4)x

xy =500

x(5/4)x= 500

x^2 = (4/5)500 =400

x =sqr400 = 20 = smaller number

y =500/20 = 25 = larger number