The sum of two natural numbers is 26 and their difference is 8. The numbers are: (a) 19 and 7 (b) 18 and 10 (c) 17 and 9 (d) 15 and 11
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Answered by
2
a + b = 26 (equation 1)
difference is 8
a - b = 8. (equation 2)
2a = 34
a = 17
17 +b = 26
b = 9
Ans - 17 and 9 option C is correct answer.
Answered by
1
Answer: 9 and 17
9 and 17
let the numbers be x and y
x + y = 26
x - y = 8
x + y = 26
x = 26 - y --------(1)
x - y = 8
26 - y - y = 8 ----------- substituting by (1)
26 - 2y = 8
-2y = 8 - 26
-2y = -18
y = 18/2
y = 9 ---------------------- (2)
x - y = 8
x - 9 = 8 --------------------------- substituting by (2)
x = 9 + 8
x = 17
so the numbers are 9 and 17
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