Question

The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. The two numbers are​

Answer 1

Step-by-step explanation:

Let the two numbers be x & y...

By looking at the ratio we can say 2x = 5y...............(i)

By looking at the difference we can say x - y = 66....................(ii)

Or, x = 66+y.......(iii)

Putting this value of x in eq.(i) we get  :

2(66+y) = 5y

132 + 2y = 5y

3y = 132

y = 44

Putting this value of y in eq.(iii) we get  :

x = 66 + 44

x = 110

Answer 2

Let x & y be the nos. & y is the bigger no. as ratio is given

It is given y-x=66…….(1)

x:y=2:5…….(2)

So 2y=5x

y=5x÷2=2.5x

Substituting the value of y in 1

2.5x-x=66

1.5x=66

x=66÷1.5=44

Substituting the value of x in (1)

y-44=66

y=44+66=110

The nos.are 44 &110

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