Math, asked by harihar708, 1 year ago

two numbers are in the ratio 8:9 if the sum of the number is 289, find the number​

Answers

Answered by ds2113141
3

136 AND 153

Step-by-step explanation:

let numbers are X and Y ⇒ X/Y =8/9 ⇒  9X = 8Y ⇒  X=8Y/9 ⇒ then given that ⇒ X+Y =289 ⇒  8Y/9 +Y =289 ⇒ Y=153 THEN X =8×153/9 =136.

Answered by Agastya0606
2

The two numbers will be 136 and 153.

Given,

Two numbers are in ratio 8:9. The sum of the numbers is 289.

To Find,

The numbers.

Solution,

The ratio of the two numbers is 8:9.

Let us assume that the numbers are 8x and 9x.

So, according to the question, the sum of the numbers is 289

8x+9x = 289

Now, we will solve this linear equation in one variable.

17x = 289

x = 289/17

x = 17

The two numbers will be

8x = 8(17) = 136

9x = 9(17) = 153

Hence, the two numbers will be 136 and 153.

#SPJ3

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