Question

Question !!

If 1 is added in the numerator and denominator, then fraction becomes 4 and if we substract 1 from both numerator and denominator then becomes 7 ​, then find the fraction ?

Don't Spam !!​

Answer 1

here is the answer of the question

Answer 2

Answer :

• The required fraction is 15/3.

Given :-

• If 1 is added in the numerator and denominator, then fraction becomes 4.
• If we subtract 1 from both numerator and denominator then fraction becomes 7.

To Find :-

• The fraction ?

Solution :-

• Let the numerator of fraction be m and denominator of fraction be n. So, the fraction is numerator/denominator i.e, m/n.

★ According to the question :

• If 1 is added in the numerator and denominator, then fraction becomes 4.

Therefore,

➻ m + 1/n + 1 = 4

➻ m + 1 = 4(n + 1)

➻ m + 1 = 4n + 4

➻ m = 4n + 4 - 1

➻ m = 4n + 3 (Eqⁿ - 1)

Also,

• If we subtract 1 from both numerator and denominator then fraction becomes 7.

Therefore,

➻ m - 1/n - 1 = 7

➻ m - 1 = 7(n - 1)

➻ m - 1 = 7n - 7

➻ m = 7n - 7 + 1

➻ m = 7n - 6 (Eqⁿ - 2)

From (1) and (2) we get,

➻ 4n + 3 = 7n - 6

➻ 7n - 4n = 3 + 6

➻ 3n = 9

➻ n = 9/3

➻ n = 3

• Put n = 3 in (2) we get,

➻ m = (7 × 3) - 6

➻ m = 21 - 6

➻ m = 15

Therefore,

• Numerator (m) = 15
• Denominator (n) = 3
• Fraction (m/3) = 15/3

Verification :-

We know that,

➻ m - 1/n - 1 = 7

• Put m = 15 and n = 3 in above equation

We get,

➻ 15 - 1/3 - 1 = 7

➻ 14/2 = 7

➻ 7 = 7

➻ LHS = RHS

• Hence, verified.

▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅▅