Question

The sum of denominator and numerator of a fraction is 3 less than twice the denominator. If each of the numerator and

denominator is denominator is decreased by 1, the fraction becomes 1/2. Find the fraction.

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Answer 1

HOLA!!

POINTS TO NOTICE :-

1. IN THE QUESTIONS RELATED TO THE FRACTIONS OF NUMERATOR AND DENOMINATOR
2. FIRST LET FRACTIONS AS X/Y AND MAKE EQUATION SIMULTANEOUSLY
3. THEN SOLVE THE EQUATION
4. FIND X AND Y
5. MAKE THE FRACTION

GIVEN :

1. SUM OF NUMERATOR AND DENOMINATOR IS 3 LESS THAN TWICE THE DENOMINATOR
2. AND WHEN DENOMINATOR IS DECREASED BY 1 FRACTION BECOMES 1/2

TO FIND : FRACTION

METHOD USED:

LINEAR EQUATION SOLVING IN TERMS OF X AND Y

SOLUTION:

LET THE FRACTION BE X/Y WHERE X IS NUMERATOR AND Y IS DENOMINATOR

NOW ACCORDING TO STATEMENT:

X + Y = 2Y - 3 ..................(1)

X - 1 = 1 ....................(2)

Y - 1 2

FROM (1)

X = Y - 3 .............(3)

FROM (2) PUTTING (3) IN (2)

Y - 3 - 1 = 1

Y - 1 2

Y - 4 = 1

Y - 1 2

2Y - 8 = Y - 1

Y = 7

NOW , X = Y - 3

X = 7 - 3

X = 4

HENCE FRACTION IS 4

7

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