Problem:

The sum of the ages of Tim and her daughter is 50 years. How old is her daughter if Tim's age is two less than thrice that of her daughter?

Solution:

In representation,

Let x be the Daughter's age

Then, let 3x - 2 be the Tim's age

The sum of the ages of Tim and her daughter is 50 years.

• Daughter's age + Tim's age = 50
• x + (3x - 2) = 50

Solve the value of x for the equation problem.

• x + (3x - 2) = 50
• 4x - 2 = 50
• 4x = 50 + 2
• 4x = 52/4
• x = 13

Substitute the Tim's age to the present age which is the value of x to the solving the problem equation.

• 3x - 2
• 3(13) - 2
• 39 - 2
• 37

Therefore, The present age of her Daughter is 13 yrs old and Tim is 37 yrs old.

Answer:

• The Daughter's age is 13 yrs old.

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