John is twice as old as mary. the sum of their ages is 52. how old is mary?

if j = john's age and m = mary's age, which system of equations could be used to solve the problem?

2j = m and j + m = 52
j = 2m and j + m = 52
j = 2m and jm = 52

J = 2M and J + M = 52

Step-by-step explanation:

Let John's age be J

Let Mary's age be M

Now we are given that John is twice as old as Mary

So, John's age =

Now we are given that The sum of their ages is 52.

So,

Thus the system of equations could be used to solve the problem is   and

Hence Option B is correct.

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