Question

Alphonse is x years old and Beatrice is y years old. Three times Alphonse’s age is five times Beatrice’s age. Twice more than Beatrice’s age is four more years than Alphonse’s age. How old is Alphonse and Beatrice

Answer 1

Answer:

• Alphonse is 20 and Beatrice is 12 years old

Step-by-step explanation:

Set up equations as below

Three times Alphonse’s age is five times Beatrice’s age

⇒ 3x = 5y

Twice more than Beatrice’s age is four more years than Alphonse’s age

⇒ x + 4 = 2y

Solve the system by substitution

• x = 2y - 4 ⇒ 3x = 3(2y - 4) = 6y - 12

• 6y - 12 = 5y
• 6y - 5y = 12
• y = 12

Find the value of x

• x = 2*12 - 4 = 24 - 4 = 20