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4 years ago

The difference of two numbers is 15. The larger number is 1 more than 3 times the smaller number. Find the two numbers.

Mathematics

2 answers:

Alexeev081 [22]4 years ago

8 0

I think its 30 and 15

Irina18 [472]4 years ago

4 0

Let the smaller number be x.

The larger number is 1 more than 3 times the smaller number; in numbers this is: 3x + 1.

Their sum is 15, so subtracting x from 3x + 1 will be equal to 15. Your equation is: 15 = (3x + 1) - x

Solve 15 = (3x + 1) - x algebraically for x, and then plug x into 3x + 1 to find the larger number.

15 = (3x + 1) - x
15 = 3x + 1 - x
15 = 2x + 1
14 = 2x
7 = x

3x + 1
3(7) + 1
21 + 1
22

Finally, check all work.

22 - 7 = 15
7(3) + 1 = 22

Answer:
The smaller number is 7 and the larger number is 22.

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Step-by-step explanation:

From the figure attached,

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