The ratio of the fathers age to the son's age is 4:1.The product of their ages is 196.The ratio of their ages after 5 years will be.11 : 44 : 115 : 1612 : 3
Question
The ratio of the fathers age to the son's age is 4:1.The product of their ages is 196.The ratio of their ages after 5 years will be.11 : 44 : 115 : 1612 : 3
Solution
Let's solve this step by step:
Step 1: Let's denote the father's age as 4x and the son's age as x. The problem states that the product of their ages is 196. So we can set up the equation 4x * x = 196.
Step 2: Simplify the equation to 4x^2 = 196.
Step 3: Solve for x. x^2 = 196/4 = 49. So, x = sqrt(49) = 7.
Step 4: Now that we know x = 7, we can find the father's age and the son's age. The father's age is 4x = 4*7 = 28 years old. The son's age is x = 7 years old.
Step 5: The problem asks for the ratio of their ages in 5 years. In 5 years, the father will be 28 + 5 = 33 years old and the son will be 7 + 5 = 12 years old.
Step 6: The ratio of their ages in 5 years will be 33:12.
So, the answer is 33:12.
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