Question

if 50 is subtracted from twice the greater of two numbers,it gives the other number.if 17 is subtracted from twice the smaller number,it gives the larger number .find the number

Answer 1

according to the question let the greater one be x and smaller one be y
2x-50=y
2y-17=x

y= 2x-50
2y=x+17 (transpose)

2y= 4x-100
2y=x+17
subtract
3x-117=0
3x-=117
x=117/3=39
x=39

to find y 

2y-17=39
2y=56
y=56/2=28
y=28

to verify

2x-50=28
78-50=28

2y-17=39
56-17=39
Therefore verified the greater number is 39 and the smaller one is 28





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