Question

Angelique and Serena’s ages are in the ratio 5:3. Serena’s and Venus’ ages are in the ratio 6:5. If
Angelique is 25 years older than Venus, calculate the average age of the three girls.

Answer 1

A = Angelique's ages

S = Serena’s ages

V = Venus’ ages


A / S = 5 / 3

S / V = 6 / 5


Angelique is 25 years older than Venus mean:

A = V + 25


Replace this value in equation:

A / S = 5 / 3

( V + 25 ) / S = 5 / 3 Multiply both sides by S

V + 25 = 5 S / 3 Multiply both sides by 3

3 ( V + 25 ) = 5 S Divide both sides by 5

3 ( V + 25 ) / 5 = S

S = 3 ( V + 25 ) / 5


S / V = 6 / 5 Multiply both sides by V

S = 6 V / 5


S = S

3 ( V + 25 ) / 5 = 6 V / 5 Multiply both sides by 5

3 ( V + 25 ) = 6 V

3 V + 3 * 25 = 6 V

3 V + 75 = 6 V Subtract 3 V to both sides

3 V + 75 - 3 V = 6 V - 3 V

75 = 3 V Divide both sides by 3

75 / 3 = V

25 = V

V = 25

Replace this value in equations:

A = V + 25 and S = 6 V / 5


A = V + 25 = 25 + 25 = 50


S = 6 V / 5 = 6 * 25 / 5 = 150 / 5 = 30


A = 50 , S = 30 , V = 25

average = ( A + S + V ) / 3 =

( 50 + 30 + 25 ) / 3 =

105 / 3 = 35 yrs

Answer 2

Present ageof rose and kate inda ratio 5and 4 three years hence the ages will becom 11and 9.what iskates present age in years