Five years ago a mother was 7 times as old as her daughter five years hence she will be 3 times as old as her daughter find their present ages?

Question

Answer

Answer

Answer

Problem: A mother was 7 times as old as her daughter five years ago. Five years hence she will be 3 times as old as her daughter. Find their present ages.

Solution:

Let the present age of the daughter be 'x' years old.
Then, the present age of the mother will be '7x' years old.

Five years ago:
Daughter's age = x - 5
Mother's age = 7x - 5

Five years hence:
Daughter's age = x + 5
Mother's age = 7x + 5

According to the problem, five years ago the mother was 7 times as old as her daughter. So, we can write the equation as:

7x - 5 = (x - 5) * 7

Simplifying the above equation, we get:

6x = 40

x = 6.67

So, the present age of the daughter is 6.67 years.

To find the present age of the mother, we can substitute x = 6.67 in the equation:

Mother's age = 7x

Mother's age = 7 * 6.67

Mother's age = 46.67

Therefore, the present age of the mother is 46.67 years.

Answer:
Present age of the daughter = 6.67 years
Present age of the mother = 46.67 years.

Answer

Let the present age of the daughter be 'x'.

♦ 5 years ago,

Daughter's age = x - 5

Mother's age = 7(x - 5) = 7x - 35

♦ At present,

Daughter's age = x - 5 + 5 = x

Mother's age = 7x - 35 + 5 = 7x - 30

♦ 5 years hence,

Daughter's age = x + 5

Mother's age = 7x - 30 + 5 = 7x - 25

♦ But according to the question, after 5 years, mother will be thrice daughter's age.

→→→ 7x - 25 = 3(x + 5)

=> 7x - 25 = 3x + 15

=> 7x - 3x = 15 + 25

=> 4x = 40

=> x = 40/4

=> x = 10

•�• Daughter's present age = x = 10 years.

•�• Mother's present age = 7x - 30 = 7(10) - 30 = 70 - 30 = 40 years.

Similar Class 8 Doubts

Five years ago a mother was seven times as old his daughter .five years hence she will be three times as old as her daughtern find their present ages.?

Two years ago father was three times as old as his son and two years hence, twice his age will be equal to five times that of his son find their present ages?

Meera's mother is four times as opd as Meera.After five years,her mother will be three times old as she will be then.what are their present ages?

Rakhi's mother is four times as old as Rakhi. After 5 years , her mother will be three times as old as she will be then . Find their present ages.?

Neha mother is four times as old as neha.after 5 years,her mother will be three times as old as she will be then .find their present age. Explain with a video?

Top Courses for Class 8View all

Science Class 8

Mathematics (Maths) Class 8

Social Studies (SST) Class 8

English Class 8

Cursive Writing Course-Improve Your Handwriting

Top Courses for Class 8

Top Courses for Class 8

Suggested Free Tests

Related Content

Class 8 Study Material

Class 8 Subjects

Competitive Examinations for Class 8

NCERT Solutions

Reference Books for Class 8

Other Popular Exams

Company