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Numerical Ability
Ratio and Proportion
The question is if the ratio of age of two persons is 5:6,sum of present age is 33,then in how many years the ratio of their ages becomes 7:8?
Read Solution (Total 11)
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- Given
5x+6x=33
11x=33
x=3
therefore present age is 5x=15 and 6x=18.
therefore Required to find out (15+x)/(18+x)=7/8
7(18+x)=8(15+x)
x=6 (Ans) - 10 years agoHelpfull: Yes(20) No(0)
- x/y=5/6
x=5/6*y
x+y=33
5/6*y+y=33
11y/6=33
y=18
x=15
8*(15+m)=7*(18+m)
m=6 ans - 10 years agoHelpfull: Yes(6) No(0)
- Since the ratio of their ages is 5:6, their ages will be 5x,6x respectively. sum of the ages=33. i.e., 5x+6x=33 => x=3. Therefore, the present ages are 5x=15,6x=18. after y years, the ratio of their ages is 7:8 => (15+y):(18+y)=7:8 => y=6. (ANS:6)
- 10 years agoHelpfull: Yes(3) No(0)
- ANS is after 6 years
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Let their present ages are a, b respectively,
then from the first two conditions equation becomes,
a/b= 5/6 and a+b=33
solving this we get a=15 and b=18
now
we consider after x year their ration of age will become 7/8
therefore we can write the equation as,
(a+x)/(b+x)=7/8
therefore,
(15+x)/(18+x)=7/8
after solving this we get,
x=6
- 10 years agoHelpfull: Yes(2) No(0)
- given: say x is the age of person 1 and y be the age of person 2.
Now the ratio of ages of persons given as x/y=5/6 ---------(1)
given, x+y=33-------(2)
from (1) put the value of x or y in (2) and get the value of x and y.
x=15,y=18
now suppose years after which ratio becomes 7/8 is Z.
Now x+Z/y+Z = 7/8,
15+Z/18+z = 7/8.
z=6.
so answer is after 6 years.
- 10 years agoHelpfull: Yes(0) No(0)
- present ages sum=x+y=33==> 6x+6y=198
ratios= 6x-5y=0
sloving both we get x=15,y=18
wch means both are multiple consecutive of 3 /// therefore to get 7:8 multiply by 3
7x3:8x3=21:24 diff of 15:18 and 21:24 is 6 which is no of years - 10 years agoHelpfull: Yes(0) No(0)
- 5x+6x=33
x=3
ages are 15 and 18
now
(15+y)/(18+y)=7/8
y=6 - 10 years agoHelpfull: Yes(0) No(0)
- Let their age be 5x and 6x
Given
5x+6x=33
11x=33
x=3
therefore present age is 5x=15 and 6x=18.
now,
15+x/18+x = 7/8
by solving we get x=6(ANSWER) - 10 years agoHelpfull: Yes(0) No(0)
- 1=3
15/18------>21/24----->6years
- 10 years agoHelpfull: Yes(0) No(0)
- x+y=33
5x=6y
by solving we get
x=18,y=15
after 6 years their age is 7:8
ans:6 - 10 years agoHelpfull: Yes(0) No(0)
- their present ages will be (5*33)/11 & (6*33)/11 ie.. 15 & 18
15+t/18+t=7/8
on solving t=6 years
after 6 years their ages will be in ratio of 7/8 - 10 years agoHelpfull: Yes(0) No(0)
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