I have a grandson!
Algebra
Level
2
My grandson is as many days old as my son in weeks, and my grandson is as many months old as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
The answer is 72.
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1 solution
If I am x years old, my grandson's age is 1 2 x as his number of age in months is same as my age in years. My son's age would be 1 2 7 x as his age in days is same as my grandson's age in weeks.
x + 1 2 7 x + 1 2 x = 1 2 0
1 2 2 0 x = 1 2 0
3 5 x = 1 2 0
x = 5 3 × 1 2 0 = 3 × 2 4 = 7 2 .