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The sum of the present ages of Lokesh and Taresh is 24 years. After 2 years, Lokesh's age will be three times that of Taresh. Lokesh's present age (in years) is:
12
17
19
22
19
Use the options directly: If L=19, then T=5. After 2 years, L=21 and T=7. Since 21 is exactly 3 times 7, 19 is the answer.
Present sum of ages L + T = 24 years. After 2 years: (L + 2) = 3(T + 2).
L+T=24 and L+2=3(T+2)
Use the options directly: If L=19, then T=5. After 2 years, L=21 and T=7. Since 21 is exactly 3 times 7, 19 is the answer.
Students often forget to add 2 years to BOTH individuals in the equation: (L+2)=3(T+2) instead of just adding to one.
Define variables
Let Lokesh's current age be L and Taresh's current age be T. From the problem, L+T=24, which implies T=24тИТL.
T=24тИТL
Set up equation for the future condition
After 2 years, the ages become L+2 and T+2. We are given L+2=3(T+2).
L+2=3(T+2)
Substitute and solve
Substitute T=24тИТL into the equation: L+2=3((24тИТL)+2)=3(26тИТL). Expanding this gives L+2=78тИТ3L.
4L=76
Final calculation
Divide by 4 to find L=76/4=19.
L=19
C is correct because solving the system of equations yields Lokesh's present age as 19 years.
Age problems are essentially systems of linear equations; always test the options when the number of variables equals the number of constraints to save time.
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