A Man is 42 Years Old and His Son is 12 Years Old. in How Many Years Will the Age of the Son Be Half the Age of the Man at that Time? - Mathematics

Advertisements
Advertisements
Sum

A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time?

Advertisements

Solution

Man’s age = 42 years

Son’s age = 12 years

Let after x years the age of the son will be half the age of the man.

Man’s age after x years = (42 + x) years

Son’s age after x years = (12 + x) years

According to the statement :

`12 + "x" = (42 + "x")/2`

⇒ 2(12 + x) = 42 + x   ...(by cross multiplying)

⇒ 24 + 2x = 42 + x

⇒ 2x - x = 42 - 24

⇒ x = 18

Hence after 18 years, the age of the son will be half the age of the man

Concept: Solving Linear Inequations
  Is there an error in this question or solution?
Chapter 14: Linear Equations in one Variable - Exercise 14 (B) [Page 169]

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 14 Linear Equations in one Variable
Exercise 14 (B) | Q 14 | Page 169

RELATED QUESTIONS

Solve the following equation:

`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`


Solve: `"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6` Hence, find the value of 'a', if `1/"a" + 5"x" = 8`


The sum of three consecutive odd numbers is 57. Find the numbers.


Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.


Solve: `1/3"x" - 6 = 5/2`


Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`


Solve: `("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`


Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`


A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article


The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.


Given that x ≥ y. Fill in the blank with suitable inequality sign

x + 6 `square` y + 6


Given that x ≥ y. Fill in the blank with suitable inequality sign

x – y `square` 0


Linear inequation has almost one solution


Solve the following inequation

x ≤ 7, where x is a natural number


Solve the following inequation

6x – 7 ≥ 35, where x is an integer


An artist can spend any amount between ₹ 80 to ₹ 200 on brushes. If cost of each brush is ₹ 5 and there are 6 brushes in each packet, then how many packets of brush can the artist buy?


The cost of one pen is ₹ 8 and it is available in a sealed pack of 10 pens. If Swetha has only ₹ 500, how many packs of pens can she buy at the maximum?


Solve the following inequalities

4n + 7 ≥ 3n + 10, n is an integer


Solve the following inequalities

6(x + 6) ≥ 5(x – 3), x is a whole number


Solve the following inequalities

−13 ≤ 5x + 2 ≤ 32, x is an integer


Share
Notifications



      Forgot password?
Use app×