Question

Two years from now Dharma's age will be 60% more than the age of Karma. The sum of their present ages is 61 years. What is Dharma's present age?​

Answer 1

Answer:

dharma  is d

karma is k

d+k = 61  ............................(1)

((d+2) - (k+2)}   /  (k+2)  = 60/100

(d + 2 - k - 2) / (k+2)    =   6/10

(d - k) / (k+2) = 6/10

(d-k) x 10   = 6 x (k + 2)

10d -10k  = 6k  + 12

10d -10k -6k = 12

10d - 16k = 12

divide eq by 2

5d -8k = 6...............................(2)

d+ k = 61  ................................(1)

multiply eq 1 by 8

8d  +8k  = 488.......................(3)

add eq (2)  to eq (3)

5d +8d -8k +8k     =  488 + 6

13d = 494

d = 484/13 =38

d + k  = 61

38 + k = 61

k = 61 -38 = 23

38 +2 = 40

23 +2 = 25

40 -25 = 15

15 /25 = 3/5 = 60%

Step-by-step explanation: