Question

The denominator of a a fraction is greater e than its numerator by 12 If the numerator is deareased by 3 and the denominator is increased by 5 the new Fraction is equivalent to 1 \3 find the fraction.
​

Answer 1

Answer:

It is given that

Surface area of cuboid =758 cm

2

The dimension of cuboid are

Length =14cm

Breadth =11cm

Consider h as the height of cuboid

We know that

Surface area of cuboid =2(1b+bh+1h)

By substituting the values

758=2(14×11+11×h+14×h)

On further calculation

758=2(154+11h+14h)

So we get

758=2(154+25h)

By multiplication

758=308+50h

It can be written as

50h=758−308

By subtraction

50h−450

By division

h=9cm

Answer 2

Answer:

Let the numerator of the fraction =x

Then denominator=12+x

So, fraction will be

$\frac{x}{12 + x}$

New fraction:

numerator =x-3

denominator=12+x+5

=17+x

So, fraction will be

$\frac{x - 3}{17 + x} = \frac{1}{3} \\ 3x - 9 = 17 + x \\ 2x = 26 \\ x = 13$

The old fraction is,

$\frac{13}{25}$

and new fraction is,

$\frac{10}{30} = \frac{1}{3}$