Carol is y years old and her daughter is 25 years younger. Find Carol’s present age if the sum of their ages in 69 years.

Answer 1

Let the age of Carol be - (y years)

Let daughter age be - (y - 25 years)

(As according to question daughter is 25 years younger than Carol)

As according to question sum of their ages is 69 years

So, y + (y - 25 years) = 69

2y - 25 = 69

2y = 69 + 25

2y = 94

y = 94/2

y = 47

Therefore, Carol age is = 47 years

Carol's daughter age = 47 - 25 = 22 years.

Check your answer : Sum of their ages is 69

47 + 22 = 69

Answer 2

So this is 2 equations, 2 unknowns type of problem.

for the first equation, let's look at the data of years old.

Y - 25 = X (Y being Carol's age, and X being her daughter's age)

and for the second equation let's look at what they sum to.

X + Y = 69 (the sum of their ages).

Now you will just use substitution from one equation into the next. Be lazy here, you already have developed X = in the first equation, so just pop that into the second one.

X = (Y-25) Use what X is = to and substitute this into the next equation,

X + Y = 69

so you get:

(Y-25) + Y = 69 (now you only have to solve for 1 variable, Y)

2Y - 25 = 69 add 25 to both sides, then divide by 2 to solve for y

Y = (94/2) = 46

So Carol is 46.