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rosijanka [135]
2 years ago
7

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.
Mathematics
1 answer:
Rom4ik [11]2 years ago
3 0

Answer:

Simon's Age = 47

Marcie's Age = 11

Step-by-step explanation:

<em>The question is to find Simon's age and Marcie's age.</em>

<em />

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

<u>Simon is 3 years more than 4 times marcie, so we can write:</u>

x = 4y + 3

Also,

<u>Sum of their ages is 58, so we can write:</u>

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=\frac{55}{5}\\y=11

We know

x = 58 - y

so,

x = 58 - 11

x = 47

So,

Simon's Age = 47

Marcie's Age = 11

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