Question

The ratio of present ages of Raman and Lamba is 7 : 5. After 6 years age of Raman will be 48 years. What is the present age (in years) of Lamba?

A) 30 B) 25 C) 35 D) 40

Answer 1

Given :-

Ratio of present ages of Raman and Lamba is

7 : 5

After 6 years , age of Raman is 48 years

Required to find :-

• Present age of Lamba ?

Solution :-

Given information :-

Ratio of present ages of Raman and Lamba is

7 : 5

After 6 years , age of Raman is 48 years

we need to find the age of Lamba !

So,

Consider the given ratio

Ratio = 7 : 5

Let,

Age of Raman be 7x

Age of Lamba be 5x

According to the question ;

Age of Raman after 6 years is 48

So,

7x + 6 = 48

Solving this linear equation

We get;

7x = 48 - 6

7x = 42

x = 42/7

x = 6

So,

Value of ' x ' = 6

Hence,

Present age of Lamba = 5x

This implies ,

=> 5 ( 6 )

=> 30 years

Therefore,

Present age of Lamba = 30 years

Conclusion :-

Option - A is correct

Verification :-

Let's verify whether the value of x is correct or wrong

Substitute the value of x in the present age of Ramu

So,

7x = 7( 6 ) = 42

Now, add 6 to present age this value should be equal to age of Ramu after 6 years

Hence,

42 + 6 = 48

48 = 48

Hence verified ✅

So, the value of 'x' is correct !

Answer 2

$\huge{\boxed{\sf{\red{G}\pink{i}\green{v}\blue{e}\purple{n}}}}$

The ratio of the present ages of Raman and Lamba is 7:5.

$\huge{\rm{\orange{According}\ \pink{to}\ \red{the}\ \blue{Question}:}}$

After 6 years age of Raman will be 48 years.

$\huge{\boxed{\sf{\red{To}\ \pink{be}\ \green{found} \blue{:}\purple{-}}}}$

The present age of Lamba(in years).

So,

Let, Raman's age be 7x years and

Lamba's age be 5x years

Now, ATQ,

After 6 years Raman's age becomes 48

$\bf \implies 7x+6 = 48 \\ \\ \bf \implies 7x = 48-6 \\\\ \bf \implies 7x = 42 \\\\ \bf \implies x = \frac{42}{7} \\\\ \bf \implies x = 6$

We got the value of x = 6

Now,

The present age of Lamba = 5x years

= 5 × 6 = 30 years.

Hence,

Option A) 30 is the correct answer.