Question

The present age of a Manti and Juhi are in the ratios 3:4, after five years the ratios of their ages will be 4:5 find their percentage.​

Answer 1

Correct question

The present age of a Manti and Juhi are in the ratios 3:4, after five years the ratios of their ages will be 4:5 find their present ages

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Answer :

present age of Manti = 15 years

present age of Manti = 15 years present age of Juhi = 20 years

Step by step explanations :

Let the present age of Manti be 3x

so present age of Juhi = 4x

given after 5 years

their age will be in ratio 4:5

so,

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

15x + 25 = 16x + 20

16x - 15x = 25 - 20

x = 5

so,

present age of Manti = 3x

= 3(5)

= 15 years

present age of Juhi = 4x

= 4(5)

= 20 years

so,

present age of Manti = 15 years

present age of Juhi = 20 years

Answer 2

Correct Question:-

The present age of a Manti and Juhi are in the ratios 3:4. After five years, the ratios of their ages will be 4:5 find their present ages.

Solution:-

Let the present age of Manti be 3M years and present age of Juhi be 4M years.

$\bold{After\:5\:years} \begin{cases} \text{Age of Manti = (3M + 5) years} \\ \text{Age of Juhi = (4M + 5) years} \end{cases}$

According to question,

$\implies\:\dfrac{3M\:+\:5}{4M\:+\:5}\:=\:\dfrac{4}{5}$

$\implies\:5(3M\:+\:5)\:=\:4(4M\:+\:5)$

$\implies\:15M\:+\:25\:=\:16M\:+\:20$

$\implies\:15M\:-\:16M\:=\:20\:-\:25$

$\implies\:M\:=\:5$

$\therefore \:\sf{Present \:age\:of\:Manti}$ = 3M

⇒ 3(5)

⇒ 15 years

$\therefore \:\sf{Present \:age\:of\:Juhi}$ = 4M

⇒ 4(5)

⇒ 20 years

•°• Present age of Manti is 15 years and present age of Juhi is 20 years