Aptitude - Problems on Ages - Discussion

@Srinath.

Let present ages of Ganguly and Sachin be x & y respectively.
Product of extremes = Product of means.
6(y-1)=7(x-1) &.
7(y+4)=8(x+4).
x= 31 and y= 36.

SHORTCUT METHOD.

Since they are asking ANAND's present age the ratio for Anands present age is 4.
So check the options which go for 4 table.
24 goes for 4 so 24 is the answer.
Suppose the ask Anand's age 3 years later the ratio is 9 so 3 years later his age will be 27 since 27 is divisible by 9.

Calculation can be reduced by using components and dividend which is applied on ratio's on both sides of equals.

Here is the method -> num1/den1 = num2=den2.
-> APPLYING COMPONENDO AND DIVIDENDO ON BOTH SIDES.
-> (num1+den1)/(num1-den1) = (num2+den2)/(num2-den2).

So here it goes,
(5x + 3) / (4x +3) = 11/9,
using above method it reduces to below in one go,
(9x + 6) / x = 10,
=> x = 6.

The requires answer then would be 4*x (using given ratio) is 24(answer).

Sameer and Anand age ratio is 5:4.

After 3 years.

Sameer and Anand age ration is 11:9.
The diffrence between presnet and after age is 6 & 5.
After cross multiplying to the difference of ratios samerr age 5x = 5*5 = 25.
Anand age 4x =6*4 = 24.

That's it.

Let me make it simple for you guys.

First, solve make ratios then equation:
5:4, which is 5x for Sameer and 4x for Anand : 5x/4x.

Three years from now 5x+3/4x+3 =11/9, solving this equation you get x=4.
How put 4 back on x places which is 5(4)/4(4)= 30/24 you get,

Hence 30/24 divide by 6 you get 5/4 further if u add 3 years from now, which 33/27, divide it by 3 you get ratio of 11/9.

Four years back Sham's age was 3/4th of Ram's age that time. Four years from now, Sham's age would be 5/6th of Ram's age that time. What is Sham's age today?

Can anyone solve this?

@All.

Please tell me that how possible the age ration will change on years? if both are in 5/4 ratio means after three years they should be in 5/4 only, how possible to become 11/9.

The ratio of the present age of a and b is 7:4 after 2 years their ages will be in the ratio of 5:3 what will be the ratio of A's age after 5 years to B's age now?

Can anyone solve this?

Why does 4x multiply by x = 6?

@ Sonu.

The ratio means short answer of fraction eg: 20/25 short answer is 4/5 so we can write in the form of 4x/5x.

~ the fraction of numerator and denominators are divided by the same number that's called x
P/Q=3x/4x(presentratio) Q's present age is 20.
4x =20 ; => x= 5.
after 5 years, (3x+5/4x+5) = 20/25.
Then the ratio is 4/5.