Question

During a session, Master Teacher Vijay asks the class to solve a problem that says the ratio
of Sonu's age to Vijay's age is 3:4 and that of Sonu's age to Subodh's age is 4:5. If the total of
their ages is 86 years, how old is Vijay?​

Answer 1

Answer:

the age of Vijay is 53 and the age of subhash is 33

Answer 2

Given data:,

• Sonu's age : Vijay's age = 3 : 4

• Sonu's age : Subodh's age = 4 : 5

To find: how old is Vijay ?

Step-by-step explanation:

• Here, we merge the two ratios into one first. Then calculate further.

• Sonu's age : Vijay's age = 3 : 4 = 12 : 16
• Sonu's age : Subodh's age = 4 : 5 = 12 : 15

• Then, Sonu's age : Vijay's age : Subodh's age
• = 12 : 16 : 15

• Let x be the common multiple. Then Sonu is 12x years old, Vijay is 16x years old and Subodh is 15x years old.

• Given, 12x + 16x + 15x = 86
• or, 43x = 86
• or, x = 2

• Therefore, Vijay is (16 × 2) years = 32 years old.

Answer: Vijay is 32 years old.