A mother is 20 years older than her daughter.if the daughter is y years old.

(A) How old is the mother?
(B) in terms of y how old was the daughter 4 years ago .
(C) In terms of y, how old was the mother 4 years .(I) 4 years ago if the ratio of ages was7:3 find the present age of the mother and daughter.

YOUR FACE IS ...

Solution to mathematics question

Let's break down the information given in the question:

Given:
- The mother is 20 years older than her daughter.
- The daughter is y years old.

(A) How old is the mother?
To find the age of the mother, we need to add the 20 years to the age of the daughter.
Age of the mother = Age of the daughter + 20
Therefore, the mother's age is y + 20.

(B) In terms of y, how old was the daughter 4 years ago.
To find the daughter's age 4 years ago, we need to subtract 4 from the given age of the daughter.
Daughter's age 4 years ago = y - 4.

(C) In terms of y, how old was the mother 4 years ago.
Since the mother is 20 years older than her daughter, we need to subtract 20 from the daughter's age 4 years ago to find the mother's age.
Mother's age 4 years ago = (Daughter's age 4 years ago) - 20 = (y - 4) - 20 = y - 24.

(I) 4 years ago, if the ratio of ages was 7:3, find the present age of the mother and daughter.
Let's use the information given in this question to solve for the present age of the mother and daughter.

If the ratio of their ages 4 years ago was 7:3, we can set up the following equation:
(Mother's age 4 years ago) / (Daughter's age 4 years ago) = 7/3

Substituting the expressions we found earlier:
(y - 24) / (y - 4) = 7/3

To solve for y, we can cross-multiply:
3(y - 24) = 7(y - 4)

Simplifying the equation:
3y - 72 = 7y - 28
4y = 44
y = 11

So, the present age of the daughter (y) is 11 years.

Substituting this value into the previous equations:

(A) The age of the mother is y + 20 = 11 + 20 = 31 years old.

(B) In terms of y, the daughter was (y - 4) = 11 - 4 = 7 years old 4 years ago.

(C) In terms of y, the mother was (y - 24) = 11 - 24 = -13 years old 4 years ago. However, since we can't have a negative age, we can say that the mother was not born yet 4 years ago.

RESPONDE PLS

A: y+20

...