Question

The difference between two whole numbers is 66 .the ratio fo the two numbers is 2:5 what are the two numbers

Answer 1

Hi...☺

Here is your answer...✌

Let the smaller number be x
then the larger number is 66+x

[ ∵ their difference is 66 ]

Now,
Given that their ratio is 2:5

⇒ x : (66+x) = 2 : 5

⇒ x / (66+x) = 2 / 5

⇒ 5x = 2(66+x)

⇒ 5x = 132 + 2x

⇒ 5x - 2x = 132

⇒ 3x = 132

⇒ x = 132 / 3

⇒ x = 44

Smaller number = x = 44

Larger number = 66+x = 66+44 = 110

HENCE,

Required numbers are 44 and 110

Answer 2

44 and 110

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