Question

The sum of two numbers is 90. One third of the langer number is 9 more than twice the
smaller one. What are the numbers​

Answer 1

Given:

• Sum of two numbers is 90.
• ⅓ of the longer number is 9 more than twice the smaller one.

Need to find:

• Numbers?

Solution:

Given that,

• Sum of two numbers is 90.

So,

✩ Let's consider smaller number be x.

✩ Therefore, Longer number will be (90 - x).

★ According to the Question:

• ⅓ of the longer number is 9 more than twice the smaller one.

➯ 1/3(90 - x) = 2x + 9

➯ 90 - x = 3(2x + 9)

➯ 90 - x = 6x + 27

➯ - x - 6x = 27 - 90

➯ - 7x = - 63

➯ 7x = 63

➯ x = 63/7

➯ x = 9

Therefore,

• The smaller number is, x = 9
• The larger number is, (90 - x) = 90 - 9 = 81

∴ Hence, the two numbers are 9 and 81.

Answer 2

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Question :

The sum of two numbers is 90. One third of the langer number is 9 more than twice the

smaller one. What are the numbers ?

Given :

The sum of two numbers is 90. One third of the langer number is 9 more than twice the

smaller one.

To find :

What are the numbers ?

Solution :

Refer to the attachment ☃️