Question

Maggies brother is 7 years younger than twice here. The sum of their ages i 32

How old is Maggie
Maggie is
Years old

Answer 1

Maggie is 13years old

Explanation:

Let the age of Maggie be = x

Let her brothers age be = y

Given:

Brother is 7 years younger than twice her age , y = 2x - 7 --------- ( 1 )

[ Twice her age = 2x

7 years younger than twice her age = 2x - 7 ]

Sum of their ages , x + y = 32 -------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

x + ( 2x - 7 ) = 32

x + 2x - 7 = 32

3x = 32 + 7

3x = 39

x = 13

Maggie's age = 13 years

Substitute x in ( 1 ) :

y = 2x - 7

= 2 ( 13 ) - 7

= 26 - 7

= 19

Brother's age = 19 years

Answer 2

Let the age of Maggies be x and the age of brother be y
Then,
According to the question
Maggies brother is 7yrs younger than twice of her so, the equation will be ,
2x-7=y………eqn 1
And the sum of their ages is 32 so,
x + y = 32 ………..eqn 2
Now,
Putting the value of y in equation 2 we get,

x + y= 32
x + (2x-7) =32
x + 2x-7 =32
3x = 32+7
x = 39/3
x = 13
Here,
Taking eqn 2 and putting the value of x we get,

x + y = 32
13 + y = 32
Y = 32-13
y = 19
Hence,
The age of maggies is 13 years