Question

The ratio between ram and mohan is 4:5 and that between the ages of ram and anil is 5:6 if the sum of the ages of the three is 69 years what is mohans age

Answer 1

At the last steps we multiplied 6 & 5.

Answer 2

The age of mohan is 25 years old

Solution:

The ratio between ram and mohan is 4:5 and that between the ages of ram and anil is 5:6

Therefore,

Ram : mohan = 4 : 5

Ram : anil = 5 : 6

Thus ratio between:

Mohan and Ram = 5 : 4 ----- eqn 1

Ram : anil = 5 : 6

As Ram is common between two ratios, let us equalize the ratio of Ram’s age

Multiply the ratio of Mohan and Ram with 5

multiply eqn 1 by 5

Mohan and Ram = 25 : 20

Multiply the ratio of Ram and Anil with 4

Ram : anil = 20 : 24

Thus now we have got,

Mohan and Ram = 25 : 20

Ram : anil = 20 : 24

Now the ratio between Mohan, Ram and Anil will be 25 : 20 : 24

Let the age of mohan be 25x

Let the age of ram be 20x

Let the age of anil be 24x

The sum of the ages of the three is 69 years

Therefore,

25x + 20x + 24x = 69

69x = 69

x = 1

Thus, mohan age = 25x = 25(1) = 25

Thus age of mohan is 25 years old

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