Question

The ratio of ages of Ravi and Meena is 4:5. After 5 years sum of their ages will be 46 years. Find their present ages.

Answer 1

Answer:

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Step-by-step explanation:

Let the ages of Ravi be 4x and Meena be 5x

After 5 years:-

Ravi's age = (4x + 5) years

Meena's age = (5x + 5) years

ATQ ( According To Question)

4x + 5 + 5x + 5 = 46

⇒ 9x + 10 = 46

⇒ 9x = 46 - 10

⇒ 9x = 36

⇒ x = 36/9

⇒ x = 4

∴ Age of Ravi = 4x = 4 × 4 = 16 years

Age of Meena = 5x = 5 × 4 = 20 years

Answer 2

Given - Ratio of age of Ravi and Meena.

Find - Present age of Ravi and Meena.

Solution - Age of Ravi and Meena are 16 years and 20 years respectively.

Let the ages of Ravi and Meena be 4x and 5x respectively. The ages after five years -

Age of Ravi = 4x + 5

Age of Meena = 5x + 5

Now, as per the question -

4x + 5 + 5x + 5 = 46

9x + 9 = 46

9x = 46 - 9

9x = 37

x = 37/9

x = 4.1

Taking round off so the value of x will be 4.

So, the age of Ravi = 4x

Age of Ravi = 4*4

Age of Ravi = 16 years

Age of Meena = 5x

Age of Meena = 5*4

Age of Meena = 20 years

Age of Ravi and Meena are 16 years and 20 years.