Question

34.) The ages of Reshma and Ritika are in the ratio 3 : 4. Four years before the ratio of their ages was 5:7.
Find their present ages.​

Answer 1

Step-by-step explanation:

The ages of Reshma and Ritika are in the ratio 3:4.

Let, their age be 3x and 4x.

Four years before the ratio of their ages was 5:7. =

Age of Reshma= 3x - 4

Age of Ritika= 4x - 4

According to the question,

3x-4/4x-4 = 5/7

This equation is solved in the attachment photo.

So, X =8

Then, the present ages of:-

Reshma= 3x= 3×8= 24

And Ritika= 4x= 4×8=32.

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Answer 2

$\mathfrak{\huge{\underline{Answer:}}}$

Let Reshma's age be 3x and Ritika's age be 4x

Four Years Before the ratio of their age was 5:7

So,

Reshma's Age = 3x-4

Ritika's Age = 4x-4

$\textbf{\underline{\underline{According\:To\:Question :}}}$

$\sf \: \dfrac{3x - 4}{4x - 4} = \dfrac{5}{7}$

$\sf \: 7(3x - 4) = 5(4x - 4)$

$\sf \: 21x - 28 = 20x - 20$

$\sf \: 21x - 20x =28 - 20$

$\sf \: x = 8$

Hence,

Present Age of Reshma = (3×8)= 24 years

Present age of Ritika = (4×8) = 32 years