## a fraction before 1/ 3 when 1 is substance for the numerator and its become one1/4 when 8 is added to it denominator find the faction

Question

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## Answers ( )

AnswEr:–• The fraction is 5/12.

Given:–• A fraction becomes 1/3 when 1 is subtracted from the numerator.

• It becomes 1/4 when 8 is added to the denominator.

ToFind:–• The Fraction.

SoluTion:–Let,

• Numerator =

x• Denominator =

yFractionx/yAccordingtoquestion:–• x – 1/y = 1/3

→

3x–y=3...i)• x/y + 8 = 1/4

→

4x–y=8...ii)Subtractingequationi)fromequationii),Weget•x=5...iii)Puttingthisvalueinequationi),Weget•15–y=3→

y=12Hence,thefractionis5/12._____________________## Given :-

To find :-Solution :-Let the required fraction be x/y→ x – 1/y = ⅓

→ 3(x – 1) = y

→ 3x – 3 = y

→ 3x – y = 3

——(i)→ x/y + 8 = ¼

→ 4x = y + 8

→ 4x – y = 8

—–(ii)Subtract both the equations→ (3x – y) – (4x – y) = 3 – 8

→ 3x – y – 4x + y = – 5

→ 3x – 4x = – 5

→ – x = – 5

→ x = 5

Put the value of x in equation (i)→ 3x – y = 3

→ 3 × 5 – y = 3

→ 15 – y = 3

→ y = 15 – 3

→ y = 12

Hence,