3.3 Application of Linear Equations | Baamboozle - Baamboozle

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A father is 3 times as old as his son. In 5 years, the sum of their ages will be 100. Find the son's age now.

Son = 20

A student cycles 10 km/h for 24 minutes, then walks for 36 minutes. If the total distance was 8 km, find the walking speed.

Cycle: 10×(24/60)=4 km → walk = 4 km speed × (36/60)=4 → speed=6.67 km/h → 6.7 km/h

Three consecutive even numbers add up to 84. What are the numbers?

26, 28, 30

Three consecutive even numbers add up to 48. Find the numbers.

14, 16, 18

The sum of three consecutive even numbers is 54. What are the numbers?

16, 18, 20

A man is twice as old as his daughter. In 12 years, the sum of their ages will be 84. How old is he now?

Father = 46

A boy is 4 times as old as his sister. In 6 years, the sum of their ages will be 50. How old is the boy now?

(x+6) + (4x+6) = 50 Boy = 32

The sum of three consecutive even numbers is 66. Find the numbers.

20, 22, 24

A girl walks 3 km/h for 40 minutes and then runs for 20 minutes. If she travelled 5 km total, what was her running speed?

3. Walk: 3×(40/60)=2 km; run distance = 3 km r × (20/60) = 3 → r=9 km/h → 9 km/h

A father is 27 years older than his son. In 8 years, the father will be twice the son’s age. Find the father’s age now.

Let son = x, father = x+27 → Father = 43