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Chebii is
y years old. His father is twenty five years older than Chebii. The sum of their ages is 84 years. Form an equation that can be used to calculate their ages.

Chebii is $y$ years old. His father is twenty five years older than Chebii. The sum of their ages is $84$ years. Form an equation that can be used to calculate their ages.

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Evaluate two-variable equations: word problems

Full solution

Q. Chebii is

y

years old. His father is twenty five years older than Chebii. The sum of their ages is

84

years. Form an equation that can be used to calculate their ages.

Denote Chebii's age: Let's denote Chebii's age as $y$ years. His father is $25$ years older, so his father's age is $y + 25$ years.
Write the sum equation: We know the sum of their ages is $84$ years. So, we can write the equation: $y + (y + 25) = 84$ .
Simplify the equation: Simplify the equation: $2y + 25 = 84$ .
Solve for y: Solve for y: Subtract $25$ from both sides, $2y = 84 - 25$ .
Continue solving: Continue solving: $2y = 59$ .

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