Question

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3. Solve: x + y = 55 x - y = 3

Answer 1

Answer:

x = 29 and y = 26

Mr. Micklow's age is 29 years and Ms. Craft's age is 26 years

Step-by-step explanation:

Mr. Micklow's age is x and Ms. Craft's age is y

∵ The sum of their ages is 55

∴ x + y = 55 ⇒ (1)

∵ The difference between their ages is 3

∴ x - y = 3 ⇒ (2)

Now you have a system of equation let us solve it

Add equation (1) and (2) to eliminate y

∵ (x + x) + (y - y) = (55 + 3)

∴ 2x = 58

- Divide both sides by 2

∴ x = 29

Substitute the value of x in equation (1) or (2) to find y

∵ 29 + y = 55

- Subtract 29 from both sides

∴ y = 26

Mr. Micklow's age is 29 years and Ms. Craft's age is 26 years

Answer 2

The ages will be 26 years and 29 years.

x + y = 55 .... i

x - y = 3 ...... ii

From equation ii, x = 3 + y ..... iii

Put equation iii into I

x + y = 55

(3 + y) + y = 55

3 + 2y = 55

2y = 55 - 3

2y = 52

y = 52/2

y = 26

Therefore, x will be: = 26 + 3 = 29

The ages are 26 and 29 years.

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