find two numbers such that if 7 is
added to the greater, the answer is
four times smaller number while
28 added to the smaller number is
equal to twice the greater number
Answers
Answered by
3
Answer:
The greater number = 17
The smaller number = 6
Step-by-step explanation:
Given,
- if 7 is added to the greater, the answer is four times smaller number
- 28 added to the smaller number is equal to twice the greater number
To find,
- the two numbers
Solution,
Let
- the smaller number be x
- the greater number be y
According to the given relation,
1) 7 is added to the greater, the answer is four times smaller number
7 + y = 4x
y = 4x - 7 ➙ [1]
2) 28 added to the smaller number is equal to twice the greater number
28 + x = 2y ➙ [2]
Substitute y = 4x - 7 in equation [2]
28 + x = 2y
28 + x = 2(4x - 7)
28 + x = 8x - 14
28 + 14 = 8x - x
7x = 42
x = 42/7
x = 6
y = 4x - 7
y = 4(6) - 7
y = 24 - 7
y = 17
Therefore,
The greater number = 17
The smaller number = 6
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0
sorry for those mistakes
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