8 years ago, the ratio of Anandi’s age to Bindiya’s age was 4 : 5.

1.	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?1. 146 years2. 125 years3. 136 years4. 148 years5. 152 years
Answer» Correct Answer - Option 4 : 148 years 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[(5a + 8)/4] ⇒ (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 The sum of the ages of Anandi , Bindiya and Chirag is 148 years.

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?1. 146 years2. 125 years3. 136 years4. 148 years5. 152 years

Answer» Correct Answer - Option 4 : 148 years

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[(5a + 8)/4]

⇒ (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

The sum of the ages of Anandi , Bindiya and Chirag is 148 years.