Question 20 Present age of Revanth is 4/5x.
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Question 20
Present age of Revanth is 4/5x. Present age of Revanth's father is 4/15x. The ratio is 15:12:4. Find the difference between Revanth's son's present age and Revanth's father's present age.
Show answer & explanation
The problem asks for a value '?' such that 1(1/5) of 1(1/2) of that value equals 216. Converting the mixed fractions to improper fractions and solving the linear equation yields 120.
Step-by-step Derivation:
Step 1: Convert the mixed fractions to improper fractions.
1(1/5) = (1 * 5 + 1) / 5 = 6/5
1(1/2) = (1 * 2 + 1) / 2 = 3/2
Step 2: Set up the equation based on the problem statement ('of' denotes multiplication):
(6/5) * (3/2) * x = 216
Step 3: Simplify the multiplication of the fractions:
(6 * 3) / (5 * 2) * x = 216
18 / 10 * x = 216
9 / 5 * x = 216
Step 4: Solve for x by isolating the variable:
x = 216 * (5 / 9)
Step 5: Perform the division and multiplication:
216 / 9 = 24
x = 24 * 5
x = 120.