The greatest of 2 number is 12 more than the smaller and the sum of two numbers is 10 . Find the numbers
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Step-by-step explanation:
Let the smaller number be X and the greater number be Y.
The greater number is 12 more than the smaller number.
=> Y = X + 12 — Eq1
Also, sum of the number is 10.
=> X + Y = 10 — Eq2.
Substitute Eq1 in Eq2 we get,
=> X + [X +12] = 10
=> X + X + 12 =10
=> 2X = 10–12
= 2X = -2
=> X = -1.
Substitute the value of X in Eq1 we get,
Y = -1+12 = 11.
Therefore the numbers are -1 and 11.
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