Question

if (A+B)=8 ( C-D)=6 (A+C)=13 (B+D)=8. Then find ABCD

Answer 1

a+b=8……….(1)

c-d=6……….(2)

a+c=13………(3)

b+d=8……….(4)

Now,

(3)-(1) => c-b=5…….(5)

(2)+(4)=> c+b=14……(6)

(5)+(6) => 2c=19 => c=19/2=9.5

Put this value of ‘c’ in (6)

b=14–9.5=4.5

Put ‘b’ in (1)

a=8–4.5=3.5

Put ‘b’ in (4)

d=8–4.5=3.5

The answers :-3.5,4.5,9.5,3.5

Answer 2

a+b=8
b=8-a:eq1


c-d=6
c=6+d:eq2


a+c=13
a=13-c:eq3

b+d=8
b=8-d:eq4

by eq 1and 4

8-d=8-a
so a=d
acc to eq3

a=13-(6+d)
a=13-6-d

a=13-6-a

2a= 7

a=7/2
d=7/2

b=8-7/2
b=9/2
c=6+7/2
c=19/2