a. +. b. = 8
+. +
c. - d. = 6
= =
13. 8
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Answered by
3
The value of a , b, c and d are 3.5 ,4.5 , 9.5 and 3.5 respectively
Step-by-step explanation:
Refer the attached figure
a+b=8 --1
a+c=13 --2
b+d=8 --3
c-d=6 ---4
Subtract 1 from 2
a+c-(a+b)=13-8
a+c-a-b=5
c-b=5 --A
Add 3 and 4
b+d+c-d=8+6
b+c=14 --B
Add A and B
c-b+b+c=5+14
2c=19
c=9.5
Substitute value of c in A
9.5-b=5
b=4.5
Substitute in 1
a+b=8
a+4.5=8
a=3.5
c-d=6
9.5-d=6
d=3.5
Hence the value of a , b, c and d are 3.5 ,4.5 , 9.5 and 3.5 respectively
Answered by
36
꧁SOLUTION ꧂
✧♥༻༺♥✧
☆GIVEN☆
- THE PUZZLE IN THE FORM OF EQUATION
☆SO, THE EQUATIONS ARE☆
➢a+b=8.......(1)
➢c-d=6......(2)
➢a+c=13......(3)
➢b+d=8.......(4)
✼Here solving equations by substituting method✼
- let starts with equation 1
➢a+b=8
- a=8-b
➢putting the value of a in EQ 3
➢a+c=13
- 8-b+c=13
- b=c+8-13
- b=c-5
➢puting the value b in EQ 4
➢b+d=8
- c-5+d=8
- c=8+5-d
- c=13-d
➢putting the value of c in EQ 2
➢c-d=6
- 13-d-d=6
- 13-2d=6
- 13-6=2d
- d=7/2=3.5
➢putting the value of d in EQ 2
➢C-d=6
- c-3.5=6
- c=6+3.5
- c=9.5
➢putting the value of c IN EQ 3 AGAIN
➢a+c=13
- a+9.5=13
- a=13-9.5
- a=3.5
➢putting the value of a in EQ 1 AGAIN
➢a+b=8
- 3.5+b=8
- b=8-3.5
- b=4.5
❀HENCE❀
- THE VALUES ARE
- A=3.5
- B=4.5
- C=9.5
- D=3.5
☆VERIFICATION☆
- A+B=8.........(1)
- 3.5+4.5=8
- 8=8
- C-D=6........(2)
- 9.5-3.5=6
- 6=6
- A+C=13.......(3)
- 3.5+9.5=13
- 13=13
- B+D=8......(4)
- 4.5+3.5=8
- 8=8
☆HENCE, VERIFIED☆
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