Solve the pattern in this math riddle: 21 + 10 = 31, 22 + 20 = 84, 23 + 30 = 159, what is 24 + 50?

Let's analyze the pattern in the given equations:

We are given:

1. 21 + 10 = 31
2. 22 + 20 = 84
3. 23 + 30 = 159
4. 24 + 50 = ?

At first glance, these don't follow normal addition. For example:

- 21 + 10 = 31 → This is correct normally.
- But 22 + 20 = 42, not 84.
- 23 + 30 = 53, not 159.

So clearly, there's a pattern or rule being applied that isn't standard addition.

Let’s look at each equation and see if we can find a hidden rule.

---

Step 1: Analyze the first equation

21 + 10 = 31

Normal sum: 21 + 10 = 31 → matches.

So this one is normal.

But the next ones are not.

Wait — maybe the pattern starts from the second one? Or maybe the operation is different?

Let’s try to see what happens in each case.

---

Equation 2: 22 + 20 = 84

Try to find a relationship between 22, 20, and 84.

Let’s test:

- 22 × 20 = 440 → too big
- 22 + 20 = 42 → too small
- 22 × 2 + 20 = 44 + 20 = 64 → no
- (22 + 20) × 2 = 42 × 2 = 84 → YES!

So: (22 + 20) × 2 = 84

Interesting.

Now check if this works for the third one.

---

Equation 3: 23 + 30 = 159

Normal sum: 53

Try: (23 + 30) × ? = 159

53 × ? = 159 → 159 ÷ 53 ≈ 3 → 53 × 3 = 159 → YES!

So: (23 + 30) × 3 = 159

So far:

- 21 + 10 = 31 → normal (×1?)
- 22 + 20 = 84 → (sum) × 2
- 23 + 30 = 159 → (sum) × 3

Wait — let's check the multiplier:

- First: 21 + 10 = 31 → sum = 31 → 31 × 1 = 31 → so multiplier = 1?
- Second: sum = 42 → ×2 → 84
- Third: sum = 53 → ×3 → 159

So multiplier seems to be increasing: 1, 2, 3...

But wait — what determines the multiplier?

Let’s look at the first number:

- 21 → multiplier 1
- 22 → multiplier 2
- 23 → multiplier 3

Ah! The multiplier is equal to the tens digit of the first number, or maybe just the value of the first number minus 20?

Let’s see:

- 21 → 21 - 20 = 1 → multiplier = 1
- 22 → 22 - 20 = 2 → multiplier = 2
- 23 → 23 - 20 = 3 → multiplier = 3

Yes! So the multiplier is: (first number) - 20

So general rule:

> Result = (First number + Second number) × (First number - 20)

Let’s verify:

Test 1: 21 + 10

Sum = 31
Multiplier = 21 - 20 = 1
Result = 31 × 1 = 31 ✔

Test 2: 22 + 20

Sum = 42
Multiplier = 22 - 20 = 2
Result = 42 × 2 = 84 ✔

Test 3: 23 + 30

Sum = 53
Multiplier = 23 - 20 = 3
Result = 53 × 3 = 159 ✔

Perfect!

Now apply to the last one:

24 + 50 = ?

Sum = 24 + 50 = 74
Multiplier = 24 - 20 = 4
Result = 74 × 4 = 296

---

✔ Final Answer: 296

---

🧠 Explanation:

The pattern is:
> (A + B) × (A - 20) = Result

Where A is the first number.

So:
- 24 + 50 = (24 + 50) × (24 - 20) = 74 × 4 = 296

✔ Answer: 296