Question

If you add Natalie’s age and Frankie’s age, the result is 44.if you add Frankie’s age to 3 times Natalie’s age, result is 70. Write and solve a system of equations using elimination to find their age.

Answer 1

Step-by-step explanation:

let the age of nataile be x years

age of frankie be y years

it is given that sum of their ages is 44

so

x + y = 44 1st equation

it is also given that sum of frankies age and three times natailes age is 70

so

3x + y = 70 2nd equation

subtracting equation 1 and 2 we get

2x = 26

x = 13 years

putting value of x in equation 1

we get

y = 31 years

Answer 2

Answer:

Required age of Frankie is 13 years and age of Natalie is 31 years.

Step-by-step explanation:

Given,If we add Natalie’s age and Frankie’s age, the result is 44.

Let Natalie's age be x years and Frankie's age be y years.

According to question,

$x + y = 44....(1)$

Again given, if we add Frankie’s age to 3 times Natalie’s age, result is 70.

So,

$3x + y = 70....(2)$

We are subtracting equation (1) from equation (2) for eliminating value of y,

$3x + y - x - y = 70 - 44 \\ 2x = 26 \\ x = 13$

We are putting value of x = 13 in equation (1),

$13 + y = 44 \\ y = 44 - 13 \\ y = 31$

So, required age of Frankie is 13 years and age of Natalie is 31 years.

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