Question

The age of rahul and haroon are in the ratio 3:4 sum of their age is 56? What is the age of rahul and haroon

Answer 1

Answer:

let the ages of rahul and haroon be 3x and 4x respectively

3x+4x = 56

7x = 56

x = 56/7 = 8

therefore, rahul = 3x = 3 x 8 = 24 yrs

haroon = 4x = 4 x 8 = 32 yrs

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Answer 2

CONSIDER:

• Let the age of Rahul be x.
• Let the age of Haroon be y.

GIVEN:

• The age of Rahul and Haroon are in the ratio 3:4
• x : y = 3:4

• Sum of their age is 56.
• x + y = 56

TO FIND:

• Age of Rahul, x
• Age of Haroon, y

SOLUTION:

x : y = 3:4

$\frac{x}{y} = \frac{3}{4} \\ \\ x = \frac{3}{4} y$

Substitute x = 3y/4 in x + y = 56

$\frac{3y}{4} + y = 56 \\ \\ \frac{3y}{4} + (y \times \frac{4}{4} ) = 56 \\ \\ \frac{3y}{4} + \frac{4y}{4} = 56 \\ \\ \frac{(3y + 4y)}{4} = 56 \\ \\ \frac{7y}{4} = 56 \\ \\ 7y = 56 \times 4 \\ \\ y = \frac{56 \times 4}{7} \\ \\ y = \frac{56}{7} \times 4 \\ \\ y = 8 \times 4 \\ \\ y = 32$

Age of Haroon is 32.

Substitute y = 32 in x + y = 56

$x + 32 = 56 \\ \\ x = 56 - 32 \\ \\ x = 24$

Age of Rahul is 24

ANSWER:

• The age of Rahul is 24. He is 24 years old now.

• The age of Haroon is 32. He is 32 years old now.