Question

Ages #33
Ria's present age is 2 years more than 3 times the present age of Sia 4 years from now, Ria's age will
be 7 more than twice the age of Sia What is Ria's present age in years? If you think there isnt sufficient
data to answer this question, then put e as your answer​

Answer 1

Answer:

8

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Answer 2

Answer:

The present age of Sia = 29years

Step-by-step explanation:

Given,

Ria's present age is 2 years more than 3 times the present age of Sia.

4 years from now, Ria's age will be 7 more than twice the age of Sia

To find,

The present age of Ria

Solution:

Let the present age of Ria be 'x' years and the present age of Sia is 'y' years.

From the first condition we have,

Ria's present age is 2 years more than 3 times the present age of Sia,

x = 2+3y

x - 3y = 2 ---------------------(1)

From the second condition we have,

4 years from now, Ria's age will be 7 more than twice the age of Sia

Age of Ria four years from now = x+4

Age of Sia four years from now = y+4

x+4 = 7+2(y+4)

x+4 = 7+2y+8

x - 2y = 15 -4 = 11

x-2y = 11 -------------------(2)

(1) - (2) →

x - 3y - (x-2y) = 2 -11

-3y+2y = -9

-y = -9

y = 9

The present age of Sia = 9years

From equation (1) we have,

x - 3×9 = 2

x -27 = 2

x = 29

The present age of Ria =  29years

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