Question

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of

b. find the ratio of

a.b. 2:03 1:01 3:04 4:03

Answer 1

5a/100 + 4b/100 = 2/3 x (6a/100 + 8b/100)
a/20 + b/25 = 2/3 ( 3a/50 + 2b/25 )
a/20 + b/25 = a/25 + 4b/75
a/20 - a/25 = 4b/75 - b/25
a/100 = b/75 
a/b = 100/75
 a/b = 4/3

ratio = 4:3

Answer 2

Answer:

a : b = 4 : 3

Step-by-step explanation :

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3