Question

The sum of the ages of Subbu and Tobu is 18 years and the difference between their ages is 4 years . Find the ages of Subbu and Tobu.​

Answer 1

Answer:

Given :-

• The sum of the ages of Subbu and Tobu is 18 years and the difference between their ages is 4 years.

To Find :-

• What is the ages of Subbu and Tobu.

Solution :-

Let,

$\mapsto \bf Age_{(Subbu)} =\: x$

$\mapsto \bf Age_{(Tobu)} =\: y$

According to the question,

$\bigstar$ The sum of the ages of Subbu and Tobu is 18 years.

$\footnotesize \implies \bf \bigg\{Age_{(Subbu)}\bigg\} + \bigg\{Age_{(Tobu)}\bigg\} =\: 18$

$\implies \sf\bold{\purple{x + y =\: 18\: ------\: (Equation\: No\: 1)}}$

Again,

$\bigstar$ The difference between their ages is 4 years.

$\footnotesize \: \implies \bf \bigg\{Age_{(Subbu)}\bigg\} - \bigg\{Age_{(Tobu)}\bigg\} =\: 4$

$\implies \sf\bold{\purple{x - y =\: 4\: ------\: (Equation\: No\: 2)}}$

By adding the both equation we get,

$\leadsto \sf x + y + x - y =\: 18 + 4$

$\leadsto \sf x + x {\cancel{+ y}} {\cancel{- y}} =\: 22$

$\leadsto \sf 2x =\: 22$

$\leadsto \sf x =\: \dfrac{\cancel{22}}{\cancel{2}}$

$\leadsto \sf\bold{\green{x =\: 11}}$

Again, by putting x = 11 in the equation no 1 we get,

$\leadsto \sf x + y =\: 18$

$\leadsto \sf 11 + y =\: 18$

$\leadsto \sf y =\: 18 - 11$

$\leadsto \sf\bold{\green{y =\: 7}}$

Hence, the required ages are :

✫ Age Of Subbu :

$\dashrightarrow \sf Age_{(Subbu)} =\: x$

$\dashrightarrow \sf\bold{\red{Age_{(Subbu)} =\: 11\: years}}$

✫ Age Of Tobu :

$\dashrightarrow \sf Age_{(Tobu)} =\: y$

$\dashrightarrow \sf\bold{\red{Age_{(Tobu)} =\: 7\: years}}$

$\therefore$ The age of Subbu is 11 years and the age of Tobu is 7 years .

Answer 2

What to find:

$\to$The age of Subbu and Tobu

Information given in the question:

• The sum of the ages of Subbu and Tobu is 18 years
• the difference between the ages of Subbu and Tobu ages is 4 years

Solution:

Let,The age of Subbu be $x$ years

So,The age of Tobu is $(x-4)$ years

→(The age of Subbu) - (The age of Tobu)=4 years

Now,Solving the formed equation,

$\to$$x+(x-4)=18$

$\to or,x+x=18+4$

$\to or,2x=22$

$\to or,x=\frac{22}{2}$

$\to or,x=11$

Therefore,

$\to$The age of Subbu=11years

$\to$The age of Tobu=$(11-4)$years=$7$years

Verification:

Putting the age of Shubbu in the equation,

$\to 11+(11-4)=18$

$\to or,11+11=18+4$

$\to or,22=22$

L.H.S=R.H.S

Hence,Verified

Answer:

The age of Subbu=$11$years

The age of Tobu=$7$years