Question

Rohit's current age is six years less than 3.5 times that of Nishant's. Next year Nishant's age is going to be a third of Rohit's age. What is Rohit's present age in years ?​

Answer 1

Answer:

Rohit's present Age = 50

Step-by-step explanation:

Let Nishant age = x

Then Rohit's Age = 3.5x - 6

Next year Nishant Age = x + 1

Rohit's Age = 3.5x - 6 + 1 = 3.5x - 5

As per the question

3 (x + 1) = 3.5x - 5

3.5x - 3x = 3 + 5

.5x = 8

x = 8/.5 = 16

Check 3.5x - 6 = 3.5 * 16 - 6

= 56 - 6 = 50 (Rohit's Current Age)

Check:

Next year Nishant Age = 16 + 1 = 17 (being 1/3 of Rohit Age)

Rohit's Age = 50 + 1 = 51