Question

A fraction becomes 1/3 when 2 is
subtracted from the numerator and it
becomes 1/2 when 1 is subtracted from
the denominator. Find the fraction.
a
90
b
8.
c
15/7
d
7/15​

Answer 1

Solution

Given :-

• A fraction becomes 1/3 when 2 is
• subtracted from the numerator
• it becomes 1/2 when 1 is subtracted from the denominator

Find :-

• These fraction

Explanation

Let,

• Numerator be = x
• Denominator be = y

According to question,

==> (x-2)/y = 1/3

==> 3(x-2) = y

==> 3x - y = 6 _________(1)

Again,

==> x/(y-1) = 1/2

==> 2x = y - 1

==> 2x - y = -1______________(2)

Sub equ(1) & equ(2)

==> 3x - 2x = 6 + 1

==> x = 7

keep in equ(2)

==> 2×7 - y = -1

==> y = 14 + 1

==> y = 15

Hence

• Fraction will be (x/y) = 7/15 .

Since,

• Your answer will be option number (d).

_____________________

Answer 2

Check this dear and reply me