Question

Simon and his niece Marcie are comparing their ages to see if there is a Mathematical connection. They find that Simon is three years more than four times Marcie's age. The sum of their ages is 58.

Answer 1

Simon's Age = 47

Marcie's Age = 11

Explanation:

The question is to find Simon's age and Marcie's age.

Let Simon's age be x and Marcie's age be y

Simon is 3 years more than 4 times marcie, so we can write:

x = 4y + 3

Also,

Sum of their ages is 58, so we can write:

x + y = 58

or x = 58 - y

Now, we substitute this into 1st equation and solve for y first:

`x = 4y + 3\\58-y = 4y + 3\\58-3=4y+y\\55=5y\\y=(55)/(5)\\y=11`

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11