Question

please please please please please please answer the question​

Answer 1

Answer:

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: AnSwer :- \: \star}}}}}$

Given : -

The present ages of Ram and Rahman are in the ratio 8 : 9 after 5 years the ratio of their ages will be 9 : 10 .

Required to find : -

Present ages ?

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

The present ages of Ram and Rahman are in the ratio 8 : 9 after 5 years the ratio of their ages will be 9 : 10 .

We need to find the present ages of Ram & Rahman .

So,

We should need to use concept related linear equations in 1 variable . In order to solve this question .

Let's consider that ;

Present ages of Ram be x

Present ages of Ram be x Present age of Raman be y

According to question ,

It is mentioned that ;

Ths present ages of Ram and Raman are in the ratio of 8 : 9 .

So,

The present age of Ram will be 8x

And present age of Raman will be 9x

$\mathfrak{\huge{\purple{\underline{\underline{Similarly}}}}}$

After 5 years ,

Age of Ram will be 8x + 5

Age of Raman will be 9x + 5

According to question ,

It is mentioned that ;

After 5 years the ratio of their ages will be 9 : 10 .

This implies ,

8x + 5 : 9x + 5 = 9 : 10

$\mathfrak{\huge{\pink{\underline{\underline{Hence}}}}}$

we know that ;

a : b = a/b

8x +5 / 9x + 5 = 9/10

10 ( 8x + 5 ) = 9 ( 9x + 5)

80x + 50 = 81x + 45

80x - 81x = 45 - 50

- 1 x = - 5

Take - ( minus ) common on both sides

- ( x ) = - ( 5 )

- ( minus ) get's cancelled on both sides

x = 5

$\mathfrak{\huge{\purple{\underline{\underline{Hence}}}}}$

Value of x = 5

Substitute this value in the present ages of Ram & Raman .

Hence,

Present age of Ram = 8x = 8(5) = 40 years .

Present age of Raman = 9x = 9(5) = 45 years .

$\huge\underline{\overline{\mid{\bold{\pink{ADDITIONAl - INFORMATION-}}\mid}}}$

$\huge\bold\star\blue{QuEsTiOn}\star$

What is a linear equation in 1 variable ?

$\Large{\underline{\underline{\bf{AnSweR:-}}}}$

It is an equation which consists of only one variable in it . Here the variable represents one unknown value .

Example :-

2x + 3 = 0 , 3+ 4x = 6 , etc.

$\huge\bold\star\blue{QuEsTiOn}\star$

What is linear equation in 2 variables ?

$\Large{\underline{\underline{\bf{AnSweR:-}}}}$

It is an equation which consists of 2 variables in it. Here , the 2 variables represent 2 different values .

Example :-

3x + 4y = 0 , 6x - y = 35 etc.

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: NOTE :- \: \star}}}}}$

Every algebraic expression can become an equation .

But, every equation can't become a algebraic expression.

Same in the case of polynomials too .

Answer 2

Supposition:-

• let the angle of Ram be 8x
• let the age of Rahman be 9x

According to the question:-

$\longrightarrow$ $\sf\dfrac{8x+5}{9x+5}$ = $\sf\dfrac{9}{10}$

$\longrightarrow$ $\sf 10(8x+5)$ = $\sf 9(9x+5)$

$\longrightarrow$ $\sf 80x+50$ = $\sf 81x+45$

$\longrightarrow$ $\sf 50-45$ = $\sf 81x-80x$

$\longrightarrow$ $\sf 5$ = $\sf x$

hence, the value of X is 5

Now,

• present age of Ram = 8x = 8(5) = 40years
• present age of Rahman = 9x = 9(5) = 45years.

Tip:-

• Always remember that, in such type of questions, uh need to assume the value in X and then formulate an equation acc. to the question.