Question

the sum of the ages of riya and priya is 30 and the ratio of their ages is 2:3, then find their ages?​

Answer 1

Step-by-step explanation:

Let Riya's age be x and Priya's age be y.

$x + y = 30 - - - - - - eqn1\\ \frac{x}{y} = \frac{2}{3} \\ 3x = 2y \\ x = \frac{2y}{3} \\ putting \: the \: value \: of \: x \: in \: eqn \: 1 \\ \frac{2y}{3} + y = 30 \\ \frac{2y + 3y}{3} = 30 \\ \frac{5y}{3} = 30 \\ 5y = 90 \\ y = 18 \\ \\ x = 12$

Rita's age = 12 years and Priya's age =18 years

Answer 2

SOLUTION

GIVEN

• The sum of the ages of Riya and Priya is 30

• The ratio of their ages is 2 : 3

TO DETERMINE

Their ages

EVALUATION

Here it is given that the ratio of their ages is 2 : 3

Let

Age of Riya = 2x years

Age of Priya = 3x years

Now the sum of the ages of Riya and Priya is 30

So by the given condition

2x + 3x = 30

⇒ 5x = 30

⇒ x = 6

Hence

Age of Riya = 2 × 6 = 12 years

Age of Priya = 3 × 6 = 18 years

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