Product of two numbers is 23 more than their sum. If first number is 5, what will be the second number?
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If the sum of two numbers is 13 and the difference of the numbers is 23, what is the product of the numbers?
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Let the two numbers be x and y
The sum of two numbers is 13. Accordingly
x + y = 13…Eq..1
The difference of the numbers is 23,
x - y = 23
x = 23 + y….. Eq. 2
Substituting the value of x from Eq. 2 to Eq..1
x + y = 13
23 + y + y = 13
2y = 13 - 23
2y = —10
y =-10/2
y = —5
The value of one number is —5
Substituting the value of y in Eq. 1 to derive value of x
x + y = 13
x + ( - 5) = 13
x - 5 = 13
x = 13 + 5
x = 18
The value of other number is 18
The value of two numbers are 18 and - 5
Product of these two numbers
= 18 × (—5)
= —90
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