Question

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

Answer 1

• 45 and 72

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