Question

80% of a small number is 4 less than 40% of a larger number. The larger number is 125 greater than the smaller one. The sum of these two numbers is ?

Answer 1

your answer is 395. take a look at picture.

Answer 2

Answer:

355

Step-by-step explanation:

Given :

80% of a small number is 4 less than 40% of a larger number.

The larger number is 125 greater than the smaller one.

To Find: The sum of these two numbers is ?

Solution:

Let the smaller number be x

Let the larger number be y

Now we are given that  80% of a small number is 4 less than 40% of a larger number.

So, $80\% \times x +4=40\% \times y$

$\frac{80}{100}x +4=\frac{40}{100} \times y$

$4=\frac{4}{10}y-\frac{8}{10}x$

$4=\frac{4y-8x}{10}$

$4y-8x=40$   --A

We are also given that The larger number is 125 greater than the smaller one

So, x+125=y   --B

Substitute the value of y from B in A

$4(x+125)-8x=40$  

$4x+500-8x=40$  

$500-4x=40$  

$460=4x$  

$115=x$  

So, the smaller number is x

Substitute the value of x in B

115+125=y

240=y

So, the larger number is 240

Sum of larger and smaller number = 240+115=355

Hence The sum of these two numbers is 355