two numbers are in the ratio 8:9 if the sum of the number is 289, find the number
Answers
Answered by
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
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
Similar questions