Question

A + B=8
× -
C × D=9
= =
21 5

A=?
B=?
C=?
D=?​

Answer 1

$\bold\green{\underline{Given:}}$

A+B=8------------(1)

C*D=9------------(2)

A*C=21------------(3)

B-D=5-------------(4)

$\bold\orange{\underline{Solution:}}$

• By solving equation 1 and 4

A+B=8

B-D=5

• Here subtracting to eachother

$\bold\green{\underline{A+D=3------(5)}}$

• Similarly, solving equation 2 and 3

CD=9

AC=21

• By adding equation here

CD+AC=9+21

C(D+A)=30

• Putting value of A+D=3 here

C*3=30

C=10

• Now putting the value of c=10 in EQ 2

C*D=9

10*D=9

D=10/9=0.9

• Than , putting the value of D=0.9 in EQ 4

B-D=5

B-0.9=5

B=5+0.9

B=5.9

• Again putting the value of B=5.9 in EQ 1

A+B=8

A+5.9=8

A=8-5.9

A=2.1

Hence,

$\bold\pink{\underline{The\: value\:of\:A=2.1}}$

$\bold\green{\underline{The\:value\:of\:B=5.9}}$

$\bold\red{\underline{The\:value\:of\:C=10}}$

$\bold\purple{\underline{The\:value\:of\:D=0.9}}$