the greater of two numbers is 12 more than the smaller and the sum of two number is 10 find the number
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one number = x
other number = 12 + x
x + 12 +x = 10
2x = -12 + 10
x = -1
other number = 12 + -1 = 11
numbers 11 and -1
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Solution -
Let's assume one number as x
So, the anothet numbet as x + 12
According to Question,
Given : Sum of numbers = 10
x + x + 12 = 10
⇒ 2x = 10 - 12
⇒ 2x = - 2
⇒ x = - 2 / 2
⇒ x = - 1
Required Numbers -
One number = x = - 1
Another number = x + 12 = - 1 + 12 = 11
Hence, the required numbers are - 1 and 11
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