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Age Problem
A father is 30 years older than his son however he will be only thrice as old as the son after 5 years what is father's present age ?
(a) 40 yrs (b) 30 yrs (c) 50 yrs (d) none of these
Read Solution (Total 10)
-
- Son's age: x
Father's age: x + 30
In 5 years:
Son's age: x + 5
Father's age: x + 35
In 5 years the father is thrice as old as his son so:
3(x + 5) = x + 35
x = 10
Current father's age is 40. - 12 years agoHelpfull: Yes(27) No(1)
- current age of father, f
current age of son, s
f=s+30
f+5 = 3*(s+5)= 3s+15
Solving two, f=40yrs
ANSWER (a) - 13 years agoHelpfull: Yes(11) No(0)
- let the father age be X and son age be Y
given,
Y=X-30---eq(1)
(X+3)=3(Y+3)--eq(2)
substitute eq(1) in eq(2) we gwt
X+3=3(X-30+3)
=>X+3=3(X-27)
=>X+3=3X-81
=>2X=84
=>X=42 years
hence answer is option d)none of these - 13 years agoHelpfull: Yes(2) No(13)
- F-father present age
S-son present age
present:
F=S+30
after 5 years:
F+5=3(S+5)
solving
F=40
S=10 - 10 years agoHelpfull: Yes(1) No(0)
- x+35=3(x+5)
age of father = x+30 = 40 - 10 years agoHelpfull: Yes(0) No(1)
- Father age =x+30
Son age =x
5 years later
Father age= x+30+5=x+35
Son age=x+5
according to question
x+35=3(x+5)
x+35=3x+15
x=10
So father age is 10+30=40
- 10 years agoHelpfull: Yes(0) No(0)
- F= 30+S (GIVEN)
AFTER 5 YEARS F:S = 3:1
LET THE PRESENT AGES BE: F:S
F+5 = 3
------ ----- - - - - (1)
S+5 = 1
BY SUBSTITUTING F=30+S IN EUATION (1) AND CROSS MULTIPLY
35+S = 3S+15
20 = 2S ---> S = 10
SUBSTITUE IN EQUATION (GIVEN)
F= 30+ 10
WE CAN THAT PRESENT AGE OF FATHER IS 40 YEARS ,
- 9 years agoHelpfull: Yes(0) No(0)
- You can just skim through the answers..
Given conditions:
Present age of father=Thrice his son's age
After 5 years,
Father's age=3 times his son's.
Substituting the given options,
i)40(check for the above conditions specified.) it satisfies
Answer->a)40 yrs - 8 years agoHelpfull: Yes(0) No(0)
- son age=x
fathers age=y=x+30
now
after five years from now
y+5=3(x+5)
from given equations
put value of y in final equation
x+30+5=3(x+5)
x=10
y=x+30=10+30=40
- 8 years agoHelpfull: Yes(0) No(0)
- Let ,
Son age=s; ---
Father age=s+30;--..-eq(1)
Acc to qn ,in 5 years
Son =x+5
Father=x+35;
Father is thrice as old as his son::
3(x+5)=x+35
after solving this,
x=10
now put x in eq (1)
Father age=40 - 6 years agoHelpfull: Yes(0) No(0)
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