Question

Ama, Karla and Daniel are siblings. Ama is 3 years older than Karla and Daniel is 2 years older than Ama.The sum of their ages is 32. How old is each child.




Please help me I don't know what to do, it's my High School Summer Holiday Homework!!! But I'm still in Sixth Grade!!!

Answer 1

so, if Karla's age is x,
Ama is x+3
Daniel is x+3+2 = x+5

So, adding them all up,

x + x+3 + x+5 = 32
3x+8 = 32
3x = 24
x = 8

Their ages are 8,11,13

Answer 2

A = Ama's ages

K = Karla's ages

D = Daniel's ages


Ama is 3 years older than Karla

this mean :

A = K + 3

Daniel is 2 years older than Ama

this mean :

D = A + 2

The sum of their ages is 32

this mean :

A + K + D = 32


Now you have 3 equatios :

A = K + 3

D = A + 2

A + K + D = 32


A = K + 3

D = A + 2

D = ( K + 3 ) + 2

D = K + 3 + 2 = K + 5


A + K + D = 32

( K + 3 ) + K + ( K + 5 ) = 32

K + 3 + K + K + 5 = 32

3 K + 8 = 32 Subtract 8 to both sides

3 K + 8 - 8 = 32 - 8

3 K = 24 Divide both sides by 3

3 K / 3 = 24 / 3

K = 8

Karla is 8 years old

D = K + 5

D = 8 + 5 = 13

Daniel is 13 years old

A = K + 3

A = 8 + 3 = 11

Ama is 11 years old