Question

The numerator and denominator of rational number are in the ratio 3:4.If rhe denominator is increased by 3,the ratio becomes 3:5.Find the rational number​

Answer 1

EXPLANATION.

Let the numerator of the fraction be = x

Let the denominator of the fraction be = y

Case = 1.

The numerator and denominator of rational

number are in the ratio = 3:4

=> x/y = 3/4

=> 4x = 3y

=> 4x - 3y = 0 ......(1)

Case = 2.

If the denominator is increased by 3 the

ratio becomes = 3:5

=> x / y + 3 = 3/5

=> 5x = 3 ( y + 3 )

=> 5x = 3y + 9

=> 5x - 3y = 9 ......... (2)

From equation (1) and (2) we get,

=> -x = -9

=> x = 9

put the value of x = 9 in equation (1)

we get,

=> 4(9) - 3y = 0

=> 36 - 3y = 0

=> 3y = 36

=> y = 12

Therefore,

Fraction = x/y = 9/12 = 3/4

Answer 2

Answer:

⭐ Question ⭐

✏ The numerator and denominator of rational number are in the ratio 3:4.If rhe denominator is increased by 3,the ratio becomes 3:5.Find the rational number.

⭐ To Find ⭐

✏ Rational Number

⭐ Solution ⭐

✏ Let the numerator of the fraction be x

✏ Let the denominator of the fraction be y

➡ Case 1:-

✏ The numerator and denominator of the rational are in the ratio be 3:4

✍ x/y = 3/4

=> 4x = 3y

=> 4x - 3y = 0 -------(1)

➡ Case 2:-

✏ If the denominator is increase by 3, then the ratio become 3:5

✍ x/y+3 = 3/5

=>5x = 3(y+3)

=> 5x = 3y+9

=> 5x-3y = 9 ------(2)

✳ From the equation (1) and (2)

=> -x = -9

=> x = 9

➡ putting the value of X=9 in the equation no (1) we get,

=> 4(9)-3y = 0

=> 36-3y = 0

=> 3y = 36

=> y = 36/3

=> y = 12

⭐ Hence, the fraction =

x/y = 9/12 = 3/4

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