Age of Rohit is 5 more than twice of Pradeep's age. 6 year ago, age of Pradeep was 1 3 of Rohit's age. Find their ages.

Let the Pradeep's age be x So, the Rohit's age be 2 x + 5 Six year's ago ⇒ x - 6 = 1 3 2 x + 5 - 6 ⇒ x - 6 = 1 3 2 x - 1 ⇒ 3 x - 18 = 2 x - 1 ⇒ 3 x - 2 x = - 1 + 18 ⇒ x = 17 Thus, the age of Pradeep is 17 years and age of Rohit is 2 x + 5 = 2 × 17 + 5 = 39 years.

E M B I B E

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 5

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IMPORTANT

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If one side of a triangle is $\frac{1}{4}$ of its perimeter, other side is $7 cm$ and third side is $\frac{2}{5}$ of its perimeter, then find the perimeter of the triangle.

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Important Questions on Linear Equation in One Variable

HARD

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IMPORTANT

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 6

Sum of the digits of a two-digit number is

8

. The number obtained by interchanging the digits exceeds the original number by

18

. Find the number.

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IMPORTANT

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 7

The ages of Vimla and Sarita are in the ratio of

7 : 5

. Four years later, their ages will be in the ratio

4 : 3

. Find their ages.

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9th Chhattisgarh Board

IMPORTANT

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 8

Alka thinks of a number, she adds

5

to it. To this she adds double of the original number and then subtracts

10

from it to get

40

. Find the number.

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IMPORTANT

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 9

Difference between two positive integers is

40

. The integers are in the ratio

2 : 3

. Find the integers.

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9th Chhattisgarh Board

IMPORTANT

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 10

Sum of three consecutive multiples of

5

is

555

. Find these multiples.

EASY

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IMPORTANT

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 11

Age of Rohit is $5$ more than twice of Pradeep's age. $6$ year ago, age of Pradeep was $\frac{1}{3}$ of Rohit's age. Find their ages.

EASY

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IMPORTANT

Mathematics Class - 9>Chapter 5 - Linear Equation in One Variable>Exercise>Q 12

A motorboat goes downstream in a river, covers the distance between two coastal towns in $5$ hours. It covers same distance upstream in six hours. The speed of water is $2$ km/h find the speed of the motorboat in still water.