Question

• The ratio of age of daughter and mother is 1:3 if the total of daughter and mother is 80 years Find the age of daughter and mother​

Answer 1

Answer:

Mother's present age is 40 years.

Daughter's present age is 15 years.

Step-by-step explanation:

Given : The ratio of the present ages of a mother and daughter is 8:3. After 5 years the ratio of their ages will be 9:4.

To find : Their present age ?

Solution :

The ratio of the present ages of a mother and daughter is 8:3.

Let the age of the mother be 8x, and that of the daughter be 3x.

After 5 years the ratio of their ages will be 9:4.

i.e. their ages will be (8x+5) and (3x+5)

According to question,

\frac{8x+5}{3x+5}=\frac{9}{4}

3x+5

8x+5

=

4

9

Cross multiply,

4(8x+5)=9(3x+5)4(8x+5)=9(3x+5)

32x+20=27x+4532x+20=27x+45

32x-27x=45-2032x−27x=45−20

5x=255x=25

x=\frac{25}{5}x=

5

25

x=5x=5

Mother's present age is

M=8\times 5=40\ yearsM=8×5=40 years

Daughter's present age is

D=3\times 5=15\ yearsD=3×5=15 years

#Learn more

The average age of a woman and her daughter is 42 years. The ratio of their ages is 2:1. What is the daughter's age?

https://brainly.in/question/5393770

Answer 2

Answer:

Mother's present age is 40 years.

Daughter's present age is 15 years.

Step-by-step explanation:

Given : The ratio of the present ages of a mother and daughter is 8:3. After 5 years the ratio of their ages will be 9:4.

To find : Their present age ?

Solution :

The ratio of the present ages of a mother and daughter is 8:3.

Let the age of the mother be 8x, and that of the daughter be 3x.

After 5 years the ratio of their ages will be 9:4.

i.e. their ages will be (8x+5) and (3x+5)

According to question,

\frac{8x+5}{3x+5}=\frac{9}{4}

3x+5

8x+5

=

4

9

Cross multiply,

4(8x+5)=9(3x+5)4(8x+5)=9(3x+5)

32x+20=27x+4532x+20=27x+45

32x-27x=45-2032x−27x=45−20

5x=255x=25

x=\frac{25}{5}x=

5

25

x=5x=5

Mother's present age is

M=8\times 5=40\ yearsM=8×5=40 years

Daughter's present age is

D=3\times 5=15\ yearsD=3×5=15 years

#Learn more

The average age of a woman and her daughter is 42 years. The ratio of their ages is 2:1. What is the daughter's age?

Step-by-step explanation:

Hope It Is Helpfull To