When a 2-digit number is divided by the sum of its digits, the quotient is 4. If the digits are reversed, the new number is 6 less than twice the original. The number is

Question: When a 2-digit number is divided by the sum of its digits, the quotient is 4. If the digits are reversed, the new number is 6 less than twice the original. The number is

সমাধান:
ধরি, সংখ্যাটি = 10x + y

শর্ত ১:
(10x + y)/(x + y) = 4
⇒ 10x + y = 4x + 4y
⇒ 6x = 3y
⇒ y = 2x

শর্ত ২:
10y + x = 2(10x + y) - 6

y-এর মান বসিয়ে পাই,
10(2x) + x = 2(10x + 2x) - 6
⇒ 21x = 24x - 6
⇒ 3x = 6 ⇒ x = 2

∴ y = 2 × 2 = 4
সুতরাং, সংখ্যাটি = 24