Question

The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. The two numbers are:
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Answer 1

Step-by-step explanation:

difference between two whole number is 66

ratio of two numbers is 5x -2x

5x-2x=66

3x=66

x=22

5x=5(22)=110

2x=2(22)=44

Answer 2

Given

✭ Difference between two number is 66

✭ The ratio of the two numbers is 2:5

To Find

◈ The two numbers?

Solution

Concept

Here we shall assume that the two numbers with x(2x & 5x) so then add it is given their difference is 66 then we shall substitute this values and get our final answer

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Let

◕ One number = 2x

◕ Another number = 5x

☯ As per the Question

The difference of two numbers is 66, so,

➝ 5x-2x = 66

➝ 3x = 66

➝ x = 66/3

➝ x = 22

So now the numbers will be,

First Number

»» 5x

»» 5 × 22

»» Number = 110

Second Number

»» 2x

»» 2 × 22

»» Number = 44

Verification

➳ a-b = 66

➳ 110-44 = 66

➳ 66 = 66

➳ LHS = RHS

Hence Verified!!

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