The greater of two numbers is 12 more than the smaller and the sum of two numbers is 10. Find the number.
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The greater of two numbers is 12 more than the smaller and the sum of two numbers is 10. Find the number.
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Answer:
12+x=10
x=12-10
x=2
Step-by-step explanation:
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Let the two numbers be x and y(x>y).
According to the question, x+y=10 ---(i)
x=y+12 ---(ii)
In (i), x+y=10
=>y+12+y=10 [Using(i)]
=>2y+12=10
=>2(y+6)=2×5
=>y+6=5
=>y=5-6=-1
Substituting value of y in (ii),
x=-1+12=11
Thus, the two numbers are 11 and -1.
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