A number is divided into two parts such that one part is 15more than the other if the two parts are in the ratio 7:4find the number
Answers
Answered by
8
Answer:
The numbers are 35 and 20.
Step-by-step explanation:
Given:
Ratio of the numbers = 7:4
Value by which one number is greater by the other number = 15
Asked:
Value of the numbers
Solution:
Let the common multiple be 'x',
Then the numbers be become 7x and 4x,
Equation Formed:
7x = 4x + 15
7x - 4x = 15
3x = 15
x =
x = 5
So, the numbers are:
7x = 7 × 5 = 35
4x = 4 × 5 = 20
Verification:
35 - 20 = 15
One number is greater than other number by 15. Hence the answer is exactly correct!
One more way to solve this problem:
Equation can also be formed as:
7x - 15 = 4x
-15 = 4x - 7x
-15 = -3x
15 = 3x [(-15) × (-1) = (-3x) × (-1)]
x =
x = 15
Therefore, in both cases the answer is same. So you can also solve by this method.
Hope it helps!
Answered by
1
Answer:
Above answer is correct
Mark above answer brainliest
Hope this will help you
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