Answer

Verified

383.4k+ views

**Hint:**Notice that we get an equality from the information of present age and age after two years. We can use this information to formulate an equation which on solving will give us Dilip and his son’s age.

**Complete step by step answer:**

1) Assign variables for father and son’s age. One can assign any variable.

Let Dilip’s age be x and son’s age be y.

Therefore, 2 years ago, the age of the father and son is:

Dilip’s age \[ =x\]

Son’s age \[ = y\]

Therefore, Dilip’s age \[ = 3y\]

At present, their age is;

Son’s age \[ = y + 2\]

Dilip’s age\[= x + 2\]\[ = 3y +2\] ------(1)

And, after two years, their ages will be:

Son’s age \[= y + 4\]

Dilip’s age \[= x + 4 = 3y + 4\]

2) We have that 2 years later, two times (twice) Dilip’s age will be 5 times his son after 2 years,

Therefore, we get the equation,

\[= 5 ( y + 4 ) = 3 ( y + 4 )\]

Which on solving, would give us

\[\begin{array}{l}5y + 20 = 6y + 8\\5y + 20 - 6y - 8 = 0\\ - y + 12 = 0\\\therefore y = 12\end{array}\]

Hence, the age of Dilip’s son is 12. On substituting this in the equation (1), we get,

\[3(12) + 4 = 36 + 4 = 40\]

**Thus, Dilip’s age is 40 at present.**

**Note:**

1) In questions like this, writing down the information helps clear the picture.

2) Students are prone to rushing it in the end when it comes to such problems. Make sure not to make any silly mistakes.

3) Number the equations which would be required later in the problem.

4) These kinds of problems often seem easy and in a hurry students are prone to make mistakes. Rather than treating it like a puzzle, treat it like a mathematics problem and don’t solve it in your head.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Guru Purnima speech in English in 100 words class 7 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Three liquids are given to you One is hydrochloric class 11 chemistry CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE