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Questions Related to calculations and mental strategies 1

Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

$A$  is  $3$ times as old as  $B$  and  $C$  together. If after  $10$  years  $A's$  age would be equal sum of the ages of  $B$  and  $C .$  find the present age of  $A$

  1. $15$ years
  2. $20$ years
  3. $21$ years
  4. $25$ years
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A Correct answer
Explanation

Let A = 3(B + C). After 10 years, (A + 10) = (B + 10) + (C + 10). A + 10 = B + C + 20, so A = B + C + 10. Substituting B + C = A/3, we get A = A/3 + 10. 2A/3 = 10, so A = 15.