Question

In 4 years' time, Ben will be 3 times as old as his younger brother.Ben is 14 years older than his younger brother. How old is Ben now?

Answer 1

B + 4 = 3(Y + 4)

B = Y + 14

Now, substitute the second equation into the first equation:

(Y + 14) + 4 = 3(Y + 4)

(Y + 18) = 3(Y + 4)

Now, simplify:

Y + 18 = 3Y + 12

Subtract Y from both sides:

18 = 2Y + 12

Subtract 12 from both sides:

6 = 2Y

Now, divide by 2:

Y = 3

So, Ben's younger brother is currently 3 years old. To find Ben's age, use the second equation

B = Y + 14

B = 3 + 14

B = 17

Ben is currently 17 years old.