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.

Simon's Age = 47

Marcie's Age = 11

Step-by-step 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:

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11

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step-by-step explanation: