Carlos, Julio and Ricky were born in consecutive years Carlos was the oldest of the three and Ricky was the youngest. In 1990, after their birthday, the sum of their ages was 129. In what years were they born?

Carlos born in 1944

Julio born in 1945

Ricky born in 1946

Step-by-step explanation:

x = Carlos age

x+1 = Julio age

x+2 = Ricky age

x + x+1 + x+2 = 129

3x + 3 = 129

3x = 126

x = 42 (Carlos age)

x+1 = 43 (Julio age)

x+2 = 44 (Ricky age)

1990 - 42 = 1944 (year Carlos born)

1990 - 43 = 1945 (year Julio born)

1990 - 44 = 1946 (year Ricky born)

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6