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Question 31 : If 5x - 3y = 13438 and 5x-1 + 3y+1 = 9686 , then x+y equals [TITA]


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Explanatory Answer

It is given that 5x - 3y = 13438 and 5x-1 + 3y+1 = 9686
Let 5x-1 = k and 3y = m
So, 5k - m = 13538 ---- (1)
k + 3m = 9686 ---- (2)
Multiply (1) by 3,
15k - 3m = 40314 ----(3)
Adding (2) and (3) we get,
16k = 50000
k = 625 x 5
k = 55
We know, 5x-1 = k
So, x - 1 = 5
x = 6

We know, k + 3m = 9686
3125 + 3m = 9686
3m = 6561
m = 2187
m = 37 = 3y
y = 7

x + y = 6 + 7 = 13


The question is "If 5x - 3y = 13438 and 5x-1 + 3y+1 = 9686 , then x+y equals [TITA] "

Hence, the answer is 13

 

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