Question

Madison is the youngest of three siblings whose ages are consecutive integers. If the sum of their ages is 78, find Madison's age.

Answer 1

The age of Madison such that the sum of all three siblings' consecutive age is 78 will be 25 years old.

Explanation:

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

suppose Madison's age = x

Second older sister will have age = x + 1

Third older sister will have age = x + 2

Sum, (x) + (x + 1) + (x + 2) = 78

3x + 3 = 78

3x = 75

x = 25

Madison such that the sum of all three siblings' consecutive age is 78 will be 25 years old".

Answer 2

Explanation:

Let their age be x,x+1,x+2.

Now,

x+x+1+x+2= 78

or, 3x = 78 -3

or, x = 75/3

so, x = 25

So, Madison's age is 25 years old.