Answer:67

Step-by-step explanation:

Let's start by using algebra to solve for Mercy's and her mom's present ages.

Let M be Mercy's present age, and let Mm be her mom's present age.

We know that the ratio of Mercy's present age to her mom's present age is 2:3, so we can write:

M/Mm = 2/3

We also know that their combined age is 50 years, so we can write:

M + Mm = 50

We can solve this system of equations using substitution.

From the first equation, we can solve for Mm in terms of M:

Mm = (3/2)M

Substituting this into the second equation, we get:

M + (3/2)M = 50

Combining like terms:

(5/2)M = 50

Multiplying both sides by (2/5):

M = 20

So Mercy's present age is 20 years old.

We can use the first equation to solve for Mm:

M/Mm = 2/3

Substituting M = 20:

20/Mm = 2/3

Multiplying both sides by Mm:

40 = (2/3)Mm

Multiplying both sides by (3/2):

Mm = 60

So Mercy's mom's present age is 60 years old.

To find their ages 7 years from now, we simply add 7 to each of their ages:

Mercy's age 7 years from now: 20 + 7 = 27

Mercy's mom's age 7 years from now: 60 + 7 = 67

Therefore, in 7 years, Mercy will be 27 years old and her mom will be 67 years old.