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Numerical Ability
Age Problem
Present ages of Karan and Arjun are in the ratio 4 : 5 respectively. Six years hence the ratio becomes 7 : 8. What is the sum of the present ages of Karan and Arjun?
1) 18 years
2) 30 years
3) 36 years
4) Can't be determined
Read Solution (Total 13)
-
- Let the present ages be 4x,5x. According to question,(4x+6)/(5x+6)=7/8. Therefore x=2
4x=8,5x=10.
Sum=18
Option1 - 8 years agoHelpfull: Yes(11) No(0)
- 1) 18 years
Let the present age of Karan=K and Arjun=A, then
K/A= 4/5 or 5K =4A ----(i) and
(K+6)/(A+6)=7/8 or 8K -7A = -6 ----(ii)
On solving (i) & (ii), K=8, A=10
So sum of the present ages=K+A=8+10= 18 - 8 years agoHelpfull: Yes(4) No(4)
- 4x-6/5x-6=7/8
6=3x
---->x=2;
8+10=18 - 8 years agoHelpfull: Yes(1) No(1)
- given:
K A
present ages 4 5
6 yrs hence 7 8
ratio difference 3 3 i.e. equal
k age =6/3*4=8
A age=6/3*5=10
sum=8+10=18.
correct option is 1 - 8 years agoHelpfull: Yes(1) No(0)
- K:A=4:5
(4x+6)/(5x+6)=7/8
x=2
so,
K+A=18 - 8 years agoHelpfull: Yes(0) No(1)
- Let the Ratio factor be , ages become 4x and 5x.. after 6 years.. ages become... 4x+6 and 5x+6...
Current Ratio is 7:8... so 4x+6/5c+6 = 7/8
x=2 after solving..
Place it in 4x+6+5x+6 as current sum of ages is asked for.. it comes 30...!!! - 8 years agoHelpfull: Yes(0) No(3)
- Let present age of karan=4x & arjun=5x.
6 years hence,therefore karan=4x+6 & arjun=5x+6
(4x+6) / (5x+6) = 7/8
x=2
by substituting x=2 in their present ages,sum of their ages will be 18 years - 8 years agoHelpfull: Yes(0) No(0)
- 18
4x+6/5x+6 =7/8
On solving we get x as 2
Substitute x and on adding up we get 18 - 8 years agoHelpfull: Yes(0) No(0)
- let the present ages be 4x and 5x
given 7x+6/8x+6=4/5
35x+30=30x+24
3x=6
x=2
sum of present ages = 4x+5x
=4*2+5*2
=18 years - 8 years agoHelpfull: Yes(0) No(0)
- 18 years is ans
- 6 years agoHelpfull: Yes(0) No(0)
- Present ages are 4x,5x
6 year after the ratios are 7:8
4x+6:5x+6=7:8
X=2
4x+5x=18 - 6 years agoHelpfull: Yes(0) No(0)
- 4*2:5*2=8:10
8+6=14
10+6=16
14/2:16/2=7:8 - 5 years agoHelpfull: Yes(0) No(0)
- Ratio is 4x/5x
After 6 year ratio is 4x+6/5x+6=7/8
3x=6
Therefore x=2
Present age is 14 and 16
Summ of their age is 14+16=30 - 4 years agoHelpfull: Yes(0) No(0)
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