Answer:
The numbers are 20 and 45
Step-by-step explanation:
Let the two numbers be a and b
The ratio of the two is 4:9
That means;
a/b = 4/9
9a = 4b •••••(i)
secondly;
Subtracting 5 from each gives a ratio of 3:8
(a-5)/(b-5) = 3/8
8(a-5) = 3(b-5)
8a - 40 = 3b - 15
3b - 15 + 40 = 8a
3b + 25 = 8a
a = (3b + 25)/8 •••(ii)
Insert this into 1
9(3b + 25)/8 = 4b
27b + 225 = 32b
32b - 27b = 225
5b = 225
b = 225/5
b = 45
From i;
9a = 4b
9a = 4 * 45
a = 4 * 45/9
a = 20
