Question

the combined age of Joshi and Jony is 49 Joshi is twice as old as Johnny was when Joshi was as old as Johnny now how old are they brothers
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Answer 1

Joshi is 28 and Johnny is 21

Step-by-step explanation:

Let the age of Joshi be x

then, age of Johnny be y

According to question, the equation would be:

x+y=49

the difference in their ages will always be same

x-y

when Joshi  was old as Johnny , so Joshi  age was y

And Johnny had to have been y-(x-y)=2y-x at that time

It says that Joshi is now twice that age ,so

x=2×(2y-x)

x = 4 y - 2x

x + 2x = 4y

4y = 3x

y = 3/4 x

By subsitution:

x + y = 49

x + 3/4 x = 49

By taking LCM

(4x + 3x) / 4 = 49

7/ 4 x = 49

x = 49 × 4 / 7

x = 7 × 4

x = 28

So, the age of Joshi is 28 year

And the age of Johnny will be:

y = 3/4x

y = 3/4 × 28

y = 3 × 7

y = 21

So, the age of Johnny is 21 year.