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08-10-2020
Mathematics

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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 each person

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mhanifa mhanifa

08-10-2020

Answer:

45 and 72

Step-by-step explanation:

Let the ages be r and m

We have:

r + m = 117
5r = 9 + 3m

Substitute m in the second equation and solve for r:

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

Then m is

m = 117 - 45 = 72

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