Math, asked by MidnightAngel, 1 year ago

The sum of two numbers is 90. One third of the larger number is 9 more than twice the smaller number. What are the smaller numbers?

Answers

Answered by kriti90
93
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Answered by talasilavijaya
10

Answer:

The larger number is 81 and the smaller number is 9.

Step-by-step explanation:

Given the sum of two numbers = 90

Let the two numbers be x and y.

Sum of the numbers is x+y=90\implies x=90-y         ...(1)

Let x be the larger number and y be the smaller number.

Given one third of the larger number is 9 more than twice the smaller number.

Therefore, \frac{1}{3} \times x=9+2y

\implies x=3(9+2y)

\implies x=27+6y

Using equation (1),

90-y=27+6y

\implies 7y=90-27=63

\implies y=\frac{63}{7} =9

And from equation (1), x=90-9=81

Therefore, the larger number is 81 and the smaller number is 9.

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