Question

Rinki, Nimi, and Piya are cousins. Rinki is 10 years younger than three times Nimi's age, and Nimi is 3 years older than Piya. If Rinki is 14 years old, then what is the age of Piya? ​

Answer 1

Piya is 5 years old

Explanation:

let Piya's age be x , then

Nimi is x + 3 ( 3 years older than Piya ) and

Rinki is 3(x + 3) - 10 ( 10 years younger than 3 times Nimi's age )

given Rinki is 14 , then equating her ages gives

3(x + 3) - 10 = 14

3x + 9 - 10 = 14

3x - 1 = 14 ( add 1 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then Piya = x = 5 years old