The numbers are such that if 7 is added to
smaller number then the sum is twice the greater number
if 4 is added to greater number
then sum is thrice the smaller number
find two number
Answers
Answer:
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Answer:
5 and 3 are the two numbers.
Step-by-step explanation:
Let the two numbers be x and y and x>y.
According to the question,
y + 7 = 2x
2x - y = 7 .....(1)
x + 4 = 3y
x - 3y = -4 .....(2)
We will use substitution method to solve these two equations,
In (1),
2x = 7 + y
x = 7 + y / 2 ....(3)
Now, we will substitute this x value in euation (2),
7 + y / 2 - 3y = -4
7 + y - 6y = -8
7 - 5y = -8
-5y = -15
y = 3
We will substitue this value in (3),
x = 7 + 3 / 2
x = 10/2
x = 5
So, the two numbers are 5 and 3.
Hope this helps you!!!