Emilynodalid
Answered

Carol is five times older as her brother. She will be three times as old as her brother in two years. How old is Carol now??

Sagot :

Carol is 10 years old right now because her brother is 2 and in two years her brother is 4 and she is 12 which three times her brothers age.
Present ages:
Let brother's age be x
Carol's age is 5x

Ages in two years:
Brother's age:  x + 2
Carol's age:  5x + 2

In two years, Carol;s age is 3 times his brother's:
5x + 2 = 3 (x+2)
5x + 2 = 3x + 6
5x - 3x = 6 - 2
2x = 4
2x/2 = 4/2
x = 2

Carol's brother: x = 2   ⇒   2 years old
Carol: 5x = 5(2) = 10  ⇒     10 years old

In two years:
Brother:  2 + 2 = 4 years old
Carol" 10 + 2 = 12  years old  (three times the age of his brother, 4 years)


At present, Carol is 10 years old, which is five times his brother's age, 2.

Final Answer:  Carol is now 10 years old.