Question

The ages of Rani and Salu are in the ratio 5: 7. Four years from now the ratio of their ages will be 3:4. Find their present age.​

Answer 1

Answer:

Here, is your answer

Step-by-step explanation:

Let the present ages of Hari and Harry be 5x and 7x respectively.

(Since there are in the ratio of 5:7)

Four years from age of Hari will be = 5x + 4

and Harry's age will be = 7x + 4.

According to question four years from now, the ratio of their ages will be 3:4.

So the equation becomes : 

5x+4/7x+4=3/4

                                                

Cross-multiplication gives:

                                  4(5x + 4)  =  3(7x + 4)

or                                20x + 16 = 21x + 12

or                                        x = 4

Hence present age of Hari = 5x=5×4= 20 and 

           present age of Harry = 7x=7×4=28

Answer 2

$\huge\blue{\mid{\fbox{\tt{Solution :-}}\mid}}$

The ratio of Rani's and Shalu's present ages is 5:7

So, Let their ages be 5x and 7x respectively.

According to the question,

After 4 years their ages will be in ratio 3 : 4

$\therefore \: \frac{5x + 4}{7x + 4} = \frac{3}{4}$

By cross multiplication

$\implies4(5x + 4) \: = 3(7x + 4) \\ \implies20x + 16 = 21x + 12 \\ \implies16 - 12 = 21x - 20x \\ \implies4 = 1x \\ \therefore \: x = 4$

${ \sf{ \color{purple}{Present \: age \: of \: Rani \: = }}} \: 5x \: = (5 \times 4 ) = 20 \\ { \sf{ \color{purple}{Present \: age \: of \: Shalu \: }}} = \: 7x \: = \: (7 \times 4) = 28$

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