Question

in a fraction the sum of numerator and denominator is 12 if 3 is added to denominator fraction becomes 12 fina a fraction

Answer 1

Step-by-step explanation:

given above............

Answer 2

Correct Question :-

• In a fraction the sum of numerator and denominator is 12 if 3 is added to denominator fraction becomes 1/2. Find the fraction

To find :-

• Fraction

Solution :-

✰Let the numerator be x then its denominator be y

• According to first condition

✑Sum of numerator and denominator is 12

➪ x + y = 12

➪ x = (12 - y) -----(i)

• According to the second condition

✑3 is added to denominator fraction becomes 1/2

➪ x/y + 3 = 1/2

➪ 2x = y + 3

➪ 2x - y = 3

✰Substitute the value of x from (i)

➪ 2(12 - y) - y = 3

➪ 24 - 2y - y = 3

➪ 24 - 3y = 3

➪ 24 - 3 = 3y

→ 21 = 3y

➪ y = 21/3 = 7

✰Now, put the value of y in equation (i)

➪ x = 12 - y

➪ x = 12 - 7

➪ x = 5

Hence,

• Required fraction
• Numerator/denominator = x/y = 5/7