Question

20% of a number, when added to 36% of another, gives 30% of the sum of the two numbers. The bigger number is 20
more than the smaller one. Find the numbers.
s X 1. 25, 45
X 2. 20,40
X 3. 60, 80
√ 4. 30.50
digital​

Answer 1

Given:

20% of a number when added to 36% of another number it gives the 30% of sum of the two numbers

And the bigger number is 20 more than the smaller one

Solution:

Let the smaller number be  'x'

Then the bigger number is 'x+20'

According to the given conditions,

$\frac{20}{100}x+\frac{36}{100}(x+20) =\frac{30}{100}(x+x+20)$

$\frac{x}{5}+\frac{9}{25}x+\frac{9}{25}(20)=\frac{30}{100}(2x)+\frac{30}{100}(20)$

$\frac{5x+9x}{25}+\frac{36}{5}=\frac{6x}{10}+6$

$\frac{14x}{25} -\frac{6x}{10}=6-\frac{36}{5}$

$\frac{28x-30x}{50}=\frac{30-36}{5}$

$\frac{-2x}{50}=\frac{-6}{5}$

$x=30$

And $x+20=30+20=50$

∴ The smaller number is 30 and the bigger number is 50