Question

Maggie's brother is 10 years younger than twice her age. The sum of their ages is 29. How old is Maggie? Maggie is ___years old.

Answer 1

Let M be the age of Maggie and B the age of her younger Brother:

Rewrite the problem from English language to Math's:
 B = 2.M - 10 (1)
and  M + B = 29 (Given) OR    B  =  29 -M (2)
Plug 2) into 1):

29 -M = 2.M -10
 29 + 10 = 3 M →→3M = 39 and M = 39/3 = 13
Replace M by 13 and you will find B =6

Then Maggie = 13 year old and her brother B = 6 year old

Answer 2

Answer:

Let M be the age of Maggie and B the age of her younger Brother:

Rewrite the problem from English language to Math's:

B = 2.M - 10 (1)

and  M + B = 29 (Given) OR    B  =  29 -M (2)

Plug 2) into 1):

29 -M = 2.M -10

29 + 10 = 3 M →→3M = 39 and M = 39/3 = 13

Replace M by 13 and you will find B =6

Then Maggie = 13 year old and her brother B = 6 year old