Question

A-b=2, a+c=10,c+d=8,b+d=6 find abcd

Answer 1

Answer:

a = 5

b = 3

c = 5

d = 3

Hence, abcd = 225

Step-by-step explanation:

a- b = 2 , so , a = 2+ b ........(I)

b = a- 2 ........(ii)

a + c = 10 , putting a = 2+b for finding the value of c :

2+b + c = 10

c = 10-2-b. ........(iii)

c+d = 8 , putting the value of c:

10 - 2 -b +d = 8

d = 8 - 10+2+b. ...........(iv)

b+d = 6 , putting the value of b and d from (ii) and (iv):

a-2 + 8 -10+2+b = 6

a+b-2 = 6

a+b = 8

a = 8-b. ............(v)

Equating the equations (I) and (v) :

2+b = 8-b

2b = 6

b = 3

we got the answer b = 3, we can find the values of a ,c ,d :

a = 2+b = 2+3 = 5

a= 5

c = 10-2-b = 8-b= 8-3 =5

c = 5

d = 8-10+2+b= -2+2+b = b= 3

d = 3

so , abcd = 5×3×5×3= 225