Question

The difference between two whole numbers is 66. The ratio of the two numbers is

2:5 what are the two numbers?​

Answer 1

Answer:

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Answer 2

Answer:

• The numbers are 44 and 110.

Step-by-step explanation:

Given :-

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

To Find :-

• What are the numbers.

Solution :-

➊ To find the numbers, firstly let us consider the two whole numbers be 2x and 5x.

Given :

• Difference between the numbers = 66.
• Numbers = 2x and 5x.

According to the question,

↦ 5x - 2x = 66

↦ 3x = 66

↦ x = 66/3

➦ x = 22

➋ Now we have the value of x. So, by putting the value of x in the assumed numbers we will find out the numbers.

➲ First number = 2x = 2(22) = 2 × 22 = 44.

➲ Second number = 5x = 5(22) = 5 × 22 = 110.

∴ Hence, the numbers are 44 and 110.

❖ Verification ❖

↦ 5x - 2x = 66

Putting x = 22 we get,

↦ 5(22) - 2(22) = 66

↦ 5 × 22 - 2 × 22 = 66

↦ 110 - 44 = 66

↦ 66 = 66

➦ LHS = RHS

∴ Hence, Verified ✔