Question

18. Present age of Ram and Ravi are in the ratio
4:5. The ratio of their ages will be 5:6 after
4 years. Find Ravi's present age. *
(2 Points
20 years
25 years
30 years
15 years
10​

Answer 1

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Given

• Present ages of Ravi and Ram = 4 : 5
• After 4 yrs ratio of ages = 5 : 6

To Calculate

• Present age of Ravi

Solution

Let the age of Ram be 4x

and age of Ravi be 5x

$\bf \blue{their \: ages \: after \: 4 \: yrs \ratio - }$

• Ram = 4x - 4
• Ravi = 5x - 4

$\bf \blue{according \: to \: the \: question}$

$\bf \implies \frac{4 x - 4 }{5x - 4} = \frac{5}{6}$

By cross multiplication

$\bf \implies 6(4x - 4) = 5(5x - 4)$

$\bf \implies 24x - 24 = 25x - 20$

$\bf \implies 24x - 25x = 20 - 24$

$\bf \implies - x = - 4$

$\bf \implies x = 4$

$\bf \blue{present \: age \: of:-}$

• Ram = 4x = 4 × 4 = 16yrs
• Ravi = 5x = 5 × 4 = 20 yrs

Therefore, present age of Ravi is 20 yrs.

Answer 2

Answer:

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