Question

sohan is 10 years old younger than pratha. eight years ago three times the age of sohan was 4 more than time twice the age of Partha. find Sohan present age.

Answer 1

Answer:

Sohan present age is 32 years

Step-by-step explanation:

Let Sohan's age be s and Partha's age be p.

Then,  s = p - 10    ............... I

Eight years ago, Sohan's age = s - 8 and Parhta's age = p - 8

Acc. to the question, eight years ago,

3 (s-8) = 4 + 2(p-8)

3s - 24 = 4 + 2p - 16

3s  - 2p = -12 + 24

3s - 2p  = 12      ................. II

Multiplying I by 3, we get, 3s - 3p = -30  ............  lll

Subtracting ll by lll, we get

3s - 3p - (3s - 2p) = -30 -12

3s - 3p - 3s + 2p  =  -42

            -p             =  -42

             p             =   42

Using p = 42 in I we get,

s = 42 - 10  =  32