The difference between two numbers is 12. If 1 added to the greater number, it becomes twice the smaller number. Calculate the two numbers?

Question: The difference between two numbers is 12. If 1 added to the greater number, it becomes twice the smaller number. Calculate the two numbers?

Solution:
ধরি,
বড় সংখ্যাটি = x
ছোট সংখ্যাটি = y

প্রশ্নমতে,
x - y = 12 ................... (1)
x + 1 = 2y
বা, x - 2y = - 1 .................... (2)

(1) নং থেকে (2) নং বিয়োগ করে পাই,
x - y = 12
x - 2y = - 1
y = 13

y এর মান (1) নং বসিয়ে পাই,
x - 13 = 12
বা, x = 12 + 13
∴ x = 25