NTSE Stage 2 MAT 2019 Exam Question Paper

From 1st given information:
A + B + C+ F = C + F + E + G = B + C + G + D
Comparing two equations at a time
A + B + C + F=C + F + E + G
A + B = E + G ...(i)
C + F + E + G = B + C + G + D
F + E = B + D ...(ii)
and, A + B + C + F = B + C + G + D
A + F = G +D (iii)
Now, 2nd given information
A + 2(C + F) = C + G + B + C
A + 2F =B + G ...(iv)
Now, A - G = B - 2F ...(v)
From (i)
A - G = D - F ...(vi)
From (iii)
A -G = D - F ...(vii)
From (v) and (vi)
B - 2F = E - B
2B - 2F = E
2(E - D + F) = E (From (ii), B = F + E - D)
2E - 2D =
2E = E = 20
2D = E