Q1.
Choose a number for y. How close to one lakh is the number of days in y years, for the y of your choice?
Answer
Take y = 274 — it is the value that lands almost exactly on one lakh.
Days in y years = 365 × y
365 × 274 = 365 × 200 + 365 × 74
= 73,000 + 27,010
= 1,00,010 days
1,00,010 − 1,00,000 = only 10 days more than a lakh
365 × 274 = 365 × 200 + 365 × 74
= 73,000 + 27,010
= 1,00,010 days
1,00,010 − 1,00,000 = only 10 days more than a lakh
A few other choices:
| y (years) | Days = 365 × y | Compared with 1,00,000 |
|---|---|---|
| 50 | 18,250 | 81,750 less |
| 100 | 36,500 | 63,500 less |
| 200 | 73,000 | 27,000 less |
| 274 | 1,00,010 | only 10 more |
| 300 | 1,09,500 | 9,500 more |
Why it happens: 1,00,000 ÷ 365 ≈ 273.97. So a little under 274 years contains one lakh days. This is exactly Roxie's point on page 4 — “living 1 lakh days would mean living for 274 years”.