Question

the ratio of the ages of arvind and renu is 3：5. Five year hencs ，the ratio of their age will be 4：5. Find their present ages​

Answer 1

Answer:

let there present age be x

ratio of there ages is 3:5

=

3x/5x

after 5 years ratio will add 5 on numerator and denominator.

that is,

(3x+5)/(5x+5)= 4x/5x

by cross multiplying them

$5x(3x + 5) = 4x(5x + 5) \\ 15 {x}^{2} + 25x = 20 {x}^{2} + 20x \\ 25x - 20x = 20 {x}^{2} - 15 {x}^{2} \\ 5x = 5 {x}^{2} \\ 5 = 5x \\ x = 1$

Answer 2

Step-by-step explanation:

Let the rational between ages of Arvind and Renu be x

The ages of Arvind and Renu are in the ratio 3:5

Thus there ages are, Arvind 3x and Renu 5x

Five years hence, the ratio of their ages will be 4:5

5 year hence their ages will be

Arvind’s age 3x + 5

Renu’s age 5x + 5

The ratio of their ages

3x + 5 / 5x + 5 = 4/5

Cross multiplication

5( 3x + 5 ) = 4 ( 5x + 5 )

15x + 25 = 20x + 20

15x - 20x = 20 - 25

—5x = -5

5x = 5

x = 5/5

x = 1

The rational is 1

Their respective ages

Arvind’s age 3x = 3 × 1 = 3 years

Renu’s age 5x = 5 × 1 = 5 years

Answer the Arvind’s age is 3 years and Renu’s age is 5 years

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