Question

The sum of two number is 520 if the bigger number is decreased by 4% and the smaller no is increased by 12%then the number obtained are in equal the smaller number is

Answer 1

hope it helps to you

Answer 2

$\Large{\textbf{\underline{\underline{According\;to\;the\;Question}}}}$

Information,

Sum of two numbers = 520

If bigger number is decreased by 4% and smaller number increased by 12%, then numbers obtained are equal.

Now,

Assumption,

Bigger number be p

Also,

Smaller number be 520 - p

Situation,

$\rm \: \: \: \: \: \: \: \: \:p\times\dfrac{100-4}{100}=520-p\times\dfrac{100+12}{100}$

$\rm \: \: \: \: \: \: \: \: \:p\times\dfrac{96}{100}=520-p\times\dfrac{112}{100}$

$\rm \: \: \: \: \: \: \: \: \:\dfrac{96p}{100}=\dfrac{58240-112p}{100}$

96p = 58240 - 112p

96p + 112p = 58240

208p = 58240

$\rm \: \: \: \: \: \: \: \: \:p=\dfrac{58240}{208}$

p = 280

Therefore,

Bigger number = 280

Smaller number = 520 - 280 = 240