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USPshnik [31]
3 years ago
12

The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is eac

h person
Mathematics
1 answer:
Bess [88]3 years ago
3 0

Answer:

  • 45 and 72

Step-by-step explanation:

Let the ages be r and m

<u>We have:</u>

  • r + m = 117
  • 5r = 9 + 3m

<u>Substitute m in the second equation and solve for r:</u>

  • m = 117 - r
  • 5r = 9 + 3( 117 - r)
  • 5r = 9 + 351 - 3r
  • 5r + 3r = 360
  • 8r = 360
  • r = 360/8
  • r = 45

<u>Then m is</u>

  • m = 117 - 45 = 72
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