Question

Solving a word problem with two unknowns using a linear...

Gabrielle is 7 years older than Mikhail. The sum of their ages is 61. What is Mikhail's age?

Answer 1

x= Mikhail's age,

y = Gabrielle's age

translate the statement:

y= x+7

x+y = 61

We solve the system by substitution:

we replace y by x+7 in x+y=61

x+x+7=61

2x=61-7

2x=54

x=27

Mikhail is 27 years old, Gabrielle is 27+7=34 years old

Answer 2

• Mikhail's age = 27 years.

Explanation:

Given :-

• Gabrielle is 7 years older than Mikhail.
• The sum of their ages is 61 year's.

To Find :-

• Mikhail's age

Solution :-

Let's assume,

• Mikhail's age = x
• Gabrielle's age = 7 + x

Also, The sum of their ages is 61 year's.

Mikhail's age + Gabrielle's age = 61

`\longrightarrow x + 7 + x = 61`

`\longrightarrow 2x + 7 = 61`

Subtract 7 from both sides,

`\longrightarrow 2x + 7 - 7 = 61 - 7`

`\longrightarrow 2x = 54`

Divide both sides by 2,

`\longrightarrow (2x)/(x) = (54)/(2 )`

`\longrightarrow x = 27`

Henceforth, The age of Mikhail is 27 years.