If the ordered pairs (x-1, y+3) and (2, x+4) are equal find x and y.
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It is given that 0<x,y<30.
Now for x to be divisible by 2 and 3, it has to be a multiple of 6.
Hence
x=6,12,18,24 ...(i) since 0<x<30.
And for y to be divisible by both 4 and 5, it has to be a multiple of 20.
Hence
y=20 ...(ii) since 0<y<30
Hence we get the ordered pairs as
(6,20),(12,20),(18,20),(24,20).
Hence 4 ordered pairs.
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