Question

the sum of two numbers is 43 their difference is 13. find the numbers

Answer 1

LET THE FIRST NUMBER BE X
THEN THE SECOND NUMBER WILL BE 43-X
X-(43-X)=13
X-43+X=13
2X=13+43
2X=56
X=56/2=28
X=28
SECOND NUMBER=43-28=15

Answer 2

LET THE TWO NUMBERS BE x and y

x + y = 43 ----------- (i)
x - y = 13 ------------- (ii)

ADDING (i) & (ii)

x + y + x - y = 43 + 13
2x = 56
x = 28

SUBSTITUTING x in eq (i)

28 + y = 43
y = 43-28
y = 15

ANSWER -------
THE TWO NUMBERS ARE 13 AND 28
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