Question

l will mark as a brilliant

Answer 1

Given : a + b + c + d + e = 5024   ------- (1)

Given : a + b = b + c = c + d = d + e = 2012   ------ (2)

Substitute (2) in (1), we get

= > 2012 + c + d + e = 5024

= > c + d + e = 5024 - 2012

= > c + d + e = 3012    ------- (3)

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Equation (3) can be written as,

= > 2012 + e = 3012

= > e = 3012 - 2012 = 1000   ------ (4)

Now,

= > a + b + c + d + e = 5024

= > a + 2012 + 2012 = 5024

= > a = 1000.    ------- (5)

Substitute (4), (5) in (1), we get

= > 1000 + 2012 + d + 1000 = 5024

= > d + 4012 = 5024

= > d = 5024 - 4012

= > d = 1012.

Therefore, the value of d - a:

= > 1012 - 1000

= > 12.

The answer is 12 - Option(B).

Hope this helps!