8 years ago, the ratio of Anandi’s age to Bindiya’s age was 4 : 5. At present the ratio of Bindiya’s age to Chirag’s age is 4 : 5. At present, the difference between Anandi’s age and Chirag’s age is 20 years, then what is the sum of the ages of Anandi, Bindiya, and Chirag?

8 years ago, the ratio of Anandi’s age to Bindiya’s age was 4 : 5. At present the ratio of Bindiya’s age to Chirag’s age is 4 : 5. At present, the difference between Anandi’s age and Chirag’s age is 20 years, then what is the sum of the ages of Anandi, Bindiya, and Chirag? Correct Answer <span lang="EN-IN" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">148 years</span>

Calculation:

8 years ago, let Anandi’s age = 4a years then Bindiya’s age = 5a years

At present, Bindiya’s age

⇒ 5a + 8 years = 4x

⇒ x = (5a + 8)/4

∴ Chirag’s age = 5x

⇒ 5

⇒ (25a + 40)/4

According to the question:

⇒ (25a + 40)/4 – 4a + 8 = 20

⇒ 25a + 40 – 16a – 32 = 80

⇒ 9a + 8 = 80

⇒ 9a = 72

⇒ a = 8

At present Anandi’s, age = 4a + 8 = 40 years

Bindiya’s age = 5a + 8 = 48 years

Chirag’s age = 5/4 × 48

⇒ 60 years

∴ Required Sum = 40 + 48 + 60

⇒ 148 years