Question

Two numbers A and B are such that the sum of 5% of A and 10% of B is 1/2 of the sum of 20% of A and 10% of B. Find the ratio of A:B.

Answer 1

Answer:

Step-by-step explanation:

Lets take 1% as 1 unit:

Sum = 5 unit of A + (100 unit - 5 unit) of B

$\frac{1}{2}$ (20 unit of A + 10 unit of B) = 10 unit of B -> 10 unit of A + 5 unit of B = 10 unit of B -> 10 unit of A = 5 unit of B -> A:B = 10:5 -> A:B = 2:1

Thus, A:B is 2:1

Answer 2

Answer:

1/2(5/100 + 10/100) = 20/100 + 10/ 100

1/2 ( 50+10)= 20+10

50+10 = 2(20 +10)

60= 40 +20

60=60

1=1

1:1 is the answer