Answer :
To find the number y, we can use the Chinese Remainder Theorem to solve this problem.
1. First, since the remainder is 21 when y is divided by 32, we can express this as:
y ≡ 21 (mod 32)
2. Next, for y divided by 40 with a remainder of 21, we have:
y ≡ 21 (mod 40)
3. Lastly, for y divided by 24 with a remainder of 21, we get:
y ≡ 21 (mod 24)
Now, we need to find a number that satisfies all three congruences simultaneously. To do this, we can combine the congruences using the Chinese Remainder Theorem.
By solving these congruences simultaneously, we can find the number y that satisfies all the conditions given.
