the greaterof two number is 12 more than the smaller and the sum of the two numbers is 10.find the numbers.
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✬ Smaller number = –1 ✬
✬ Larger number = 11 ✬
Step-by-step explanation:
Given:
- A number is 12 more than the smaller number.
- Sum of two numbers is 10.
To Find:
- What are the two numbers ?
Solution: Let the smaller number be x. Therefore,
➙ Larger number = 12 more than smaller
➙ Larger number = (x + 12)
Now, According to the question
- Smaller number + Larger number = 10
x + (x + 12) = 10
2x + 12 = 10
2x = 10 – 12
2x = – 2
x = –2/2
x = – 1
So,
➭ Smaller number is x = –1
➭ Larger number is (x + 12) = –1+12 = 11
________________________
★ Verification ★
➧ Smaller number + Larger number = 10
➧ –1 + 11 = 10
➧ 10 = 10
[ Verified ]
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