If two numbers are in the ratio 11 : 13 and their difference is 8, find the numbers.
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Answers
Answer:
x=-44,y=-52
Step-by-step explanation:
let the two numbers be x and y
the two numbers are inthe ratio=11:13
x/y=11/13, 13x=11y ,13x-11y=0.......{1}
and their difference is 8
x-y=8............{2}
{1}.................13x-11y=0
11×{2}...........11x-11y=88
(-) (+) (-)
2x=-88
x=-44
.........{3}
apply {3} in{2}
-44-y=8
-y=52
y=-52
Answer:
The numbers are 44 and 52.
Step-by-step explanation :
Given :
Ratio of the Numbers = 11 : 13
Difference between the numbers = 8
To Find :
The numbers
Solution :
Consider the -
One Number as 11x
Second Number as 13x
➨ 13x−11x=8
➨ 13x−11x=8
➨ 2x = 8
➨ x = 8/2
➨ x = 4
★ Value of 11x
➨ 11 × 4
➨ 44
One Number = 44
★ Value of 13x
➨ 13 × 4
➨ 52
Second Number = 52
Therefore,
The numbers are 44 and 52.
Verification:−
➨52 - 44
➨ 8
Therefore,
The numbers are 44 and 52.