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jek_recluse [69]
3 years ago
6

The ratio of two numbers is 9 to 8, and their sum is 187. What are the numbers?

Mathematics
2 answers:
m_a_m_a [10]3 years ago
5 0
<h3>Answer:  99 and 88</h3>

=========================================================

Explanation:

The ratio of the two numbers is 9 to 8, which we can write as shorthand into 9:8

Multiplying both parts by x gets us the ratio 9x:8x where x is nonzero.

The numbers 9x and 8x add up to 187, so,

9x+8x = 187

17x = 187

x = 187/17

x = 11

Which then means

  • 9x = 9*11 = 99
  • 8x = 8*11 = 88

are the two numbers. Note how 9x+8x = 99+88 = 187 to help confirm the answers. Furthermore, note how 99:88 reduces to 9:8 after dividing both parts by the GCF 11.

ale4655 [162]3 years ago
3 0

Answer:

99 and 88

Step-by-step explanation:

Let the two number be 9x and 8x

Add together

9x+8x = 187

17x = 187

Divide by 17

17x/17 = 187/17

x = 11

The numbers are

9*11 = 99

and 8*11 = 88

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