Question

Ramya
told K, 11 12 times the date of my bid thadded
to 31 time, the month of of my birth 25376 376
on which date was Ramya hoog
2, 21st​

Answer 1

Given :- Ramya told Krishna “12 times the date of my birth added to 31 times the month of my birth is 376”. On which date was Ramya born ?

Solution :-

Let us assume that, Ramaya was born on D date in the month of M . where 1 ≤ D ≤ 31 and 1 ≤ M ≤ 12 .

so,

→ 12 * D + 31 * M = 376

→ 12D = 376 - 31M

→ D = (376 - 31M)/12

putting values of M from 1 to 12 for positive integer we get,

• M = 1 => (376 - 31)/12 = 345/12 ≠ integer .
• M = 2 => (376 - 31*2)/12 = 314/12 ≠ integer .
• M = 3 => (376 - 31*3)/12 = 283/12 ≠ integer .
• M = 4 => (376 - 31*4)/12 = 252/12 = 21 = integer .
• M = 5 => (376 - 31*5)/12 = 221/12 ≠ integer .
• M = 6 => (376 - 31*6)/12 = 190/12 ≠ integer .
• M = 7 => (376 - 31*7)/12 = 159/12 ≠ integer .
• M = 8 => (376 - 31*8)/12 = 128/12 ≠ integer .
• M = 9 => (376 - 31*9)/12 = 97/12 ≠ integer .
• M = 10 => (376 - 31*10)/12 = 66/12 ≠ integer .
• M = 11 => (376 - 31*11)/12 = 35/12 ≠ integer .
• M = 12 => (376 - 31*12)/12 = 4/12 ≠ integer .

therefore,

→ Only possible value of M = 4

then,

→ D = 21

Hence, Ramya was born on 21 April .

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