Answer

Verified

438.6k+ views

**Hint:**In this question, we have the conditions between the ages of three persons. Also, the sum of their ages is given.

We need to first take the age of anyone as a random variable. Then applying the conditions we will get the other two ages. Then apply them in the other condition we can find the value of the random variable. Then we can easily find out the required solution.

**Complete step by step answer:**

It is given that Baichung's father is \[26\] years younger than Baichung’s grandfather and \[29\] years older than Baichung.

Also given that, the sum of the ages of all the three is \[135\] years.

We need to find out the age of each one of them.

Let, the age of Baichung’s father is \[x\] years.

Then the age of Baichung’s grandfather is \[ = x + 26\] years.

The age of Baichung is \[ = x - 29\] years.

Then the sum of all three of them is \[ = x + x + 26 + x - 29\]

Thus we get,

\[ \Rightarrow x + x + 26 + x - 29 = 135\]

Simplifying we get,

\[ \Rightarrow 3x - 3 = 135\]

Arranging the constant terms on the same side,

\[ \Rightarrow 3x = 135 + 3\]

Adding the terms we get,

\[ \Rightarrow 3x = 138\]

Solving for \[x\] we get,

\[ \Rightarrow x = \dfrac{{138}}{3}\]

Hence the value of \[x\] is,

\[ \Rightarrow x = 46\] years

Since \[x\] the age of Baichung’s father

The age of Baichung’s father is \[46\] years.

Then the age of Baichung’s grandfather is \[46 + 26 = 72\] years.

**$\therefore $ The age of Baichung is \[46 - 29 = 17\] years.**

**Note:**

Like this finding age problem we have to be careful on substituting the values of given. Because students may get mistaken in solutions. So we must concentrate on that calculation. The linear equations in one variable is an equation which is expressed in the form of \[ax + b = 0\] , where \[a\] and \[b\] are two integers and \[x\] is a variable and has only one solution. For example, \[2x + 8 = 4\] is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is \[2x = 4 - 8 = - 4\]. That is, \[x = \dfrac{{ - 4}}{2} = - 2\].

Recently Updated Pages

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

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

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

Trending doubts

Difference Between Plant Cell and Animal Cell

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

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

Give 10 examples for herbs , shrubs , climbers , creepers

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths