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Two whole numbers A and B satisfy the following conditions. Find A and B.

A+B=44
A:B is equivalent to 4:7.
So what is A and B

2 Answers

0 votes

Final answer:

A and B are two numbers that sum to 44 and have a ratio of 4:7. By using substitution and solving the equations, we find that A is 16 and B is 28.

Step-by-step explanation:

The given equations are:

  • A + B = 44
  • A:B :: 4:7, which means A/B = 4/7

To find A and B, perform the following steps:

  1. Express A in terms of B using the ratio: A = (4/7)B.
  2. Substitute A in the first equation: (4/7)B + B = 44.
  3. Solve for B: (4/7)B + (7/7)B = 44, (11/7)B = 44, B = 44 × (7/11) = 28.
  4. Substitute B back into the ratio to find A: A = (4/7) × 28 = 16.

A is 16 and B is 28, satisfying both conditions.

User Kchomski
by
4.6k points
4 votes

Answer: I don't know.

Step-by-step explanation:

User Ilmari Kumpula
by
4.4k points