a is greater than b by 2 and b is greater than c by 10 . If a+ b+ c =130 , then (b+c) -a =?

a is greater than b by 2 and b is greater than c by 10 . If a+ b+ c =130 , then (b+c) -a =? Correct Answer 34

Let, c = x ∴b = x + 10 and  a = x + 12 Now,a + b + c = 130 = > x + 12 + x + 10 + x = 130 = > 3x = 130 - 22 = 108 ∴x = (108/3) = 36 i.e, c = 36 ∴ b = 46 and a = 48 ∴(b + c) - a = (46 + 36) - 48 = 34 Ans. 
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