Question

• The ratio between ria and tinas Current age is per ratio five after 8 years the ratio of their ages would be 5:6 find thier present age.​

Answer 1

Answer:

Ria's age = 32

Tina's age = 40

Step-by-step explanation:

Question is - The ratio between ria and tinas Current age is 4:5, After eight years their ages would be 5:6 find thier present age.

After eight years,

Ria's age = (4x + 8) years

Tina's age = (5x + 8) years

Ratio = $\frac {4x + 8}{5x+8}$

It is given to be

$\frac {4x + 8}{5x+8} = \frac {5}{8}$

$6(4x + 8) = 5(5x + 8) \\ 24x + 32 = 25x + 40 \\ 25x - 24x + 40 = 32 \\ x = -8 = 8$

(negleting ( - )sign as age can not be negative)

Ria's age => 4x = 4 × 8 = 32

Tina's age => 5x = 5× 8 = 40

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