Question

7.10 years ago Mohan was thrice as old as Ram was but 10 years hence,he will be only twice as old as Ram find mohan present age.​

Answer 1

Answer:

The present age of Mohan is 40 years.

Step-by-step explanation:

Let the present age of Mohan be x and that of Ram be y.

Given,

Case 1:

x - 10 = 3 (y - 10)

x - 10 = 3y - 30

x - 10 + 30 = 3y

•°• x + 20 = 3y (I)

Case 2:

x + 10 = 2 (y + 10)

x + 10 = 2y + 20

x + 10 - 20 = 2y

•°• x - 10 = 2y (II)

Now, we have two equations.

x + 20 = 3y (I)

x - 10 = 2y (II)

Substitution Method-

Using eq (I), we get

x + 20 = 3y

•°• x = 3y - 20

Substituting the value of x in eq (II),

3y - 20 = 2y

3y - 2y = 20

•°• y = 20

Substituting the value of y in eq (I),

x + 20 = 3 (20)

x + 20 = 60

x = 60 - 20

•°• x = 40

The present age of Ram = y = 20.

The present age of Mohan = x = 40.

Hence, the present age of Mohan is 40 years.

Verification-

Equation (I):

x + 20 = 3y

40 + 20 = 3 (20)

60 = 60

LHS = RHS

Hence verified.

Normally, schools don't ask for verification but I've done it for your convenience.

Adiós! Hope this helps you.