Tom has t marbles and John has 3 times as many marbles as Tom.

Question

If Tom and John are each given x marbles, John will have twice as many marbles as Tom. What is x in terms of t?

Answer 1

Tom has t marbles and John has 3 times as many marbles as Tom.

If Tom and John are each given x marbles, John will have twice as many marbles as Tom. What is x in terms of t?

=>

no. of marbles tom has = t

no. of marbles John has= 3t

now if they given x marbles then

no. of marbles tom has = t + x

no. of marbles John has= 3t + x

John will have twice as many marbles as Tom

3t+x =2(t+x)

3t+x = 2t +2x

3t - 2t = 2x-x

t= x

Answer 2

Tom has t

John has 3t

2(t+x) = 3t+x

2t + 2x = 3t + x

2x = t + x

t=x

Answer 3

t represents Tom's marbles

3t represents John's marbles

2(t +x) = 3t + x

2t + 2x = 3t + x

x = t