the greater of two numbers is 12 more than the smaller and the sum of the two numbers is 10 find the numbers
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Let the greater no. be 'x' and the smaller no. be 'y'.
The greater of two no.s, [(i.e), x] is 12 more than the smaller.
∴ x = y + 12 → 1
The sum of the two no.s is 10.
∴ x + y = 10
⇒ y + 12 + y = 10 [From 1]
2y + 12 = 10
2y = 10 - 12
y = -2 ÷ 2
∴y = -1
Substituting in 1,
x = y + 12
x = -1 + 12
⇒ x = 11
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