Question

The sum of the ages of Petra and her mother is 56. Her mother is 14 years more than twice as old as
Petra. How old are Petra and her mother?

Answer 1

Let Petra = x yrs

  Mother = y yrs

So from question

   x + y = 56............(1)

and 2x + 14 = y

 Substituting y value in (1)

x + 2x + 14 = 56

3x = 42

 x = 14

y = 2x +14 = 2(14) +14 = 42

So Petra is 14 yrs and Mother is 42 yrs

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Answer 2

Answer: Mother's age = 42, Petra's age = 14

Step-by-step explanation:

Let P be Petra's age.

Let M be her mother's age.

Here's what we know from the question:

P + M = 56

M = 2P + 14

We can substitute the value of M into the first equation:

P + (2P+14) = 56

Add

3P + 14 = 56

Subtract 5 from each side:

3P = 42

Divide each side by 3:

P = 14

If Petra is 14, then her mother must be 42