Question

Three natural numbers, a, b and c are in continued proportion. If a + c = 5, find the value of
(a² + b²) : (b² + c²).

Answer 1

Answer:

5:20 --> 1:4

Step-by-step explanation:

since they are continued proportion, it means a:b= 1:2 and b:c = 2:4

if we replace the values in given equation we can get this answer.

Answer 2

Answer:

1:4 and 4:1

Step-by-step explanation:

a/b=b/c is what is meant by continued proportion. We need to be aware about the possible pairs of sum making 5. Therefore possible ratios are :
1/2=2/4 and 4/2=2/1
therefore a=1 in one case and a=4 in the other case.
hence, we get 2 solutions.