{Please don't provide any web - link or certified answer I want only experts answer} Solve - Maths - Integers

Question

{Please don't provide any web - link or certified answer I
want only experts answer}
Solve with applicable and reasonable solution in
steps:
Q In the given figure, a total of 9 regions (as coloured in 9
different colours) are formed by 5 circles Three such regions
represented by numbers 12, 6 and 15 Use any other numbers
only once for the rest of the regions, so that
the sum of numbers in each circle is 20

Brijendra Pal · Accepted Answer

Hi,
Left sides triangle can have other number 8 to get 20 and also
right side triangle has to be 5 to get 20

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a774a292ada3%20png"
style="width: 445px; height: 172px;">
So here let other numbers are a,b,c,dso 8+a+b= 20 a+b= 12
1b+c+6 =20 b+c = 14
2c+d+5 = 20 c+d = 15
3and keeping in mind that a number must be used once Taking a = 1 so from equation 1 , b= 11so from equation 2 , c = 3 and from equation 3 , d = 12 but 12 has alreadybeen used so Take a = 2 , so b = 12-2 = 10 so c = 14-10 = 4 so d = 15-4 = 11hence a = 2, b = 10, c = 4 , d= 11 are the other numbers