Question

Find a number such that the ratio of 5/2 to the number is the same as the ratio of the number 5/8

Answer 1

Call the two numbers “g” for greater and “s” for smaller. We are given g/s = 8/5 or

g = 8s/5; and (g + 8)/(s - 5) = 2 or g + 8 = 2s - 10. Substituting the value of g from the first equation into the second, 8s/5 + 8 = 2s - 10 or 8s + 40 = 10s -50. So 2s = 90 or

s = 45, which answers the question. To check, g = 8s/5 = 8(45)/5 = 360/5 = 72. This checks since 72/45 = 8/5, the correct ratio, and (72 + 8)/(45 - 5) = 80/40 = 2.

Answer 2

Answer:

Step-by-step explanation:-

5/2 : X = X : 5/8

X x X = 5/2 x 5/8

X = 5/4