Four years ago,the father's age was three tim | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the present ages of the father and the son be $f$ and $s$ respectively.From the given information:$1$. Four years ago: $(f - 4) = 3(s - 4) \Ri

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(D) Let the present ages of the father and the son be $f$ and $s$ respectively.From the given information:$1$. Four years ago: $(f - 4) = 3(s - 4) \Rightarrow f - 4 = 3s - 12 \Rightarrow f - 3s = -8$ ... $(i)$$2$. After four years: $(f + 4) + (s + 4) = 64 \Rightarrow f + s + 8 = 64 \Rightarrow f + s = 56$ ... (ii)From equation (ii),$s = 56 - f$. Substituting this into equation $(i)$:$f - 3(56 - f) = -8$$f - 168 + 3f = -8$$4f = 160$$f = 40$Thus,the father's present age is $40$ years.

Four years ago,the father's age was three times the age of his son. The total of the ages of the father and the son after four years will be $64$ years. What is the father's age at present (in years)?

Similar Questions

Marks of $X$ and $Y$ are in the ratio $3: 11$ respectively. If the marks of $X$ are $9$,then find the marks of $Y$.

If $A: B = 2: 5$,$B: C = 4: 3$,and $C: D = 2: 1$,what is the value of $A: C: D$?

If ₹ $782$ is divided into three parts proportional to $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$,then the first part is (in ₹):

If $6 A = 4 B = 9 C$,what is $A : B : C$?

$A, B, C$ and $D$ share a property worth $₹ 77500$. If $A:B = 3:2$,$B:C = 5:4$ and $C:D = 3:7$,find the share of $B$ (in $₹$).

Vedclass Test Series

Exam Paper Generator

Online Exam Module