Question

.
Tarun is younger than Taukeer by 8 years and
7 ratio of their ages is 7:9 what is the age of Taukeer

1. 36
2. 63
3. 45
4. 54​

Answer 1

Given:

Tarun is younger than Taukeer by 8 years and the ratio of their ages is 7:9

To find:

What is the age of Taukeer?

Solution:

Let,

"x" → represents Tarun's age

"y" → represents Taukeer's age

Tarun is younger than Taukeer by 8 years

i.e., x = y - 8 . . . . Equation 1

The ratio of their ages is 7:9

i.e., $\frac{x}{y} = \frac{7}{9}$

on substituting from equation 1, we get

$\implies \frac{y - 8}{y} = \frac{7}{9}$

$\implies 9(y - 8) =7y$

$\implies 9y - 7y =72$

$\implies 2y =72$

$\implies y = \frac{72}{2}$

$\implies \bold{y = 36\:years}$

Thus, the age of Taukeer is → 36 years.

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Ramesh is younger than Suresh by 9 years. If their ages are in the respective ratio of 7:9, how old is Ramesh?

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Tarun's father is 28 years younger than tarun's grandfather and 30 years older than tarun. if the sum of ages of all three is 106 years find the age of each of them

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Tarun is younger than Taukeer by 8 years and the ratio of their ages is 7 : 9 what is the age of Taukeer

1. 36

2. 63

3. 45

4. 54

CONCEPT TO BE IMPLEMENTED

Ratio :

Ratio means comparing of two quantities

The ratio of a number a to another number b ( where b # 0) is a fraction a/b and it is written a : b , the first term a is called antecedent and the second term is called consequent

EVALUATION

Here it is given that ratio of the ages of Tarun and Taukeer is 7 : 9

Let present age of Tarun and Taukeer is 7x years and 9x years respectively

Now Tarun is younger than Taukeer by 8 years

So by the given condition

$\sf{9x - 7x = 8}$

$\sf{ \implies \: 2x = 8}$

$\sf{ \implies \: x = 4}$

So

Present age of Tarun = 28 years

Present age of Taukeer = 36 years

FINAL ANSWER

Hence the correct option is 1. 36

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