Math, asked by Anonymous, 6 hours ago

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

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Answers

Answered by Anonymous
7

Step-by-step explanation:

Given:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 5:6 years

To Find:

Present age of Rahul and Haroon

Solution:

Let the present age of Rahul and Haroon be 5x and 7x years respectively.

After 4 years

  • Rahul's age will be (5x+4) years
  • Harron's age=(7x+4) years

ACQ

 \therefore \tt \:  \frac{5x + 4}{7x + 4}  =  \frac{5}{6}  \\  \tt \leadsto \: 5(7x  + 4) = 6(5x + 4) \\ \tt \leadsto35x + 20 =  30x + 24\\ \tt \leadsto5x = 4 \\ \tt \leadsto \: x =  \frac{4}{5}

Rahul's present age=4/5×5=4 years

Harron's present age=4/5×7=28/5 years

Answered by KnightLyfe
10

Question:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Given:

  • The ages of Rahul and Haroon are in the ratio 5:7.
  • Four years later the sum of their ages will be 56 years.

To Find:

  • Present ages of Rahul and Haroon.

Solution:

Let the present ages of Rahul and Haroon be 5x and 7x respectively.

\sf{Rahul's\: age\: After\: 4\: Years=(5x+4) years} —(1)

\sf{Haroon's\: age\: after\: 4\: years=(7x+4) years} —(2)

According to Question,

\rightarrow\mathsf{(5x+4)+(7x+4)=56}

\rightarrow\mathsf{5x+4+7x+4=56}

\rightarrow\mathsf{12x+8=56}

\rightarrow\mathsf{12x=56-8}

\rightarrow\mathsf{12x=48}

\rightarrow\mathsf{x=\large\frac{48}{12}}

\rightarrow\mathsf{x=4}

Putting value of x in (1) & (2). We get,

Rahul's Present age -:

\dashrightarrow\mathsf{5x=5(4)=20}

Haroon's Present Age -:

\dashrightarrow\mathsf{7x=7(4)=28}

Hence, Present ages of Rahul and Haroon are 20 & 28 respectively.

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