Define the "ages", "other ages" and "older ages" or "younger ages" of three people. Then find the ages of three people if the ratio of their ages is 3:4:5 and the difference between the eldest and youngest is 8 years.

Step 1: Determine the combined ratio for Peter, John, and Mary. Given ratios: Peter : John = 3 : 4 John : Mary = 5 : 6 To combine these, we need a common value for John's share. The least common multiple (LCM) of 4 and 5 is 20. Adjust the first ratio: Multiply (3 : 4) by 5: Peter : John = (3 × 5) : (4 × 5) = 15 : 20 Adjust the second ratio: Multiply (5 : 6) by 4: John : Mary = (5 × 4) : (6 × 4) = 20 : 24 So, the combined ratio for Peter : John : Mary is 15 : 20 : 24. Step 2: Find the value of one ratio part. We are given that Mary's share is N120.00. From the combined ratio, Mary's share corresponds to 24 parts. 24 parts = N120.00 To find the value of 1 part: 1 part = N120.0024 = N5.00 Step 3: Calculate Peter's and John's shares. Peter's share = 15 parts Peter's share = 15 × N5.00 = N75.00 John's share = 20 parts John's share = 20 × N5.00 = N100.00 Step 4: Calculate the sum of their shares. The sum of their shares is the total of Peter's, John's, and Mary's shares. Sum of shares = Peter's share + John's share + Mary's share Sum of shares = N75.00 + N100.00 + N120.00 Sum of shares = N295.00 Alternatively, sum of ratio parts = 15 + 20 + 24 = 59 parts. Sum of shares = 59 × N5.00 = N295.00 The sum of their shares is: N295.00 Send me the next one 📸