Bunuel wrote:
Eleven years ago Tina was half as old as Ike will be in 4 years. If Ike is m years old now, how old is Tina now, in terms of m?
A. 4m - 11
B. m/2 + 13
C. 1/(2m - 22)
D. (4m + 11)/2
E. 2m-7
Present ages of Tina is " t "
Present ages of Ike is " m "
Quote:
Eleven years ago Tina was half as old as Ike will be in 4 years.
Tinas age 11 years ago was = t - 11
Ikes age 4 years hence = m + 4
According to the question -> \((t - 11) = \frac{( m + 4)}{2}\)
Or, \(2t - 22 = m + 4\)
Or, \(2t - 26 = m\)
Or, \(t = \frac{(m - 26)}{2}\)
Or, \(t = \frac{m}{2} - 13\)
SO, Correct answer will be (B) \(\frac{m}{2} - 13\)
DmitryP wrote:
Can anybody tells which method is better to use here: plugging in or Algebra?
IMHO it's better to do it algebraically because check the Question , it asks us to " Express age of Tina in terms of m "...
Plugging in some value is undoubtedly good , but you will have to -
1. Plug in some value
2. Test it in the Question
3. Again work out and check the value in the question
To add more it , will be difficult to plug in the values for such question...
Hope this helps.
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