Rahul's present age is 4/7 th of his father's present age and four times his son's age three years ago. If the Average of present age of all three is 33 Years, then what is the difference between Rahul's sons present age and Rahul's Father's present age?
Answers
Answer:
45.
Step-by-step explanation:
Let X, Y, Z be the present ages of Rahul, his father and his son
X+Y+Z/3 = 33 => X+ Y+ Z = 99
// Rahul's present age is 4/7 th of his father's present age
X = 4Y/7 => Y = 7X/4
//Rahul's present age four times his son's age three years ago
X = 4(Z-3) => Z = X+12/4
//now substitute in X+ Y+ Z = 99
X + 7X/4 + (X+12/4) = 99
4X+7X+X+12 = 99*4
12X = 396-12 = 384
X = 32 ====> Rahul's Age
Y = 7*32/4 = 56 ====> Father's Age.
Z = (32+12)/4 = 11 ====> his Son's age
Difference between Rahul's sons present age and Rahul's Father's present age? = 56 - 11 = 45.
Answer:
Step-by-step explanation:
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Secondary School Math 5+3 pts
Rahul's present age is 4/7 th of his father's present age and four times his son's age three years ago. If the Average of present age of all three is 33 Years, then what is the difference between Rahul's sons present age and Rahul's Father's present age?
by PrateekKishore9157 19.08.2019
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Answer:
45.
Step-by-step explanation:
Let X, Y, Z be the present ages of Rahul, his father and his son
X+Y+Z/3 = 33 => X+ Y+ Z = 99
// Rahul's present age is 4/7 th of his father's present age
X = 4Y/7 => Y = 7X/4
//Rahul's present age four times his son's age three years ago
X = 4(Z-3) => Z = X+12/4
//now substitute in X+ Y+ Z = 99
X + 7X/4 + (X+12/4) = 99
4X+7X+X+12 = 99*4
12X = 396-12 = 384
X = 32 ====> Rahul's Age
Y = 7*32/4 = 56 ====> Father's Age.
Z = (32+12)/4 = 11 ====> his Son's age
Difference between Rahul's sons present age and Rahul's Father's present age? = 56 - 11 = 45.