two consecutive numbers are such that the sum of twice the smaller and twice the larger is 17 find the correct to three significant figure the smaller number as a percentage of the sum of the two numbers?

Emmyrosh

4 years ago

Let the bigger number be X

And the smaller number be Y

X+Y=17

2X-3Y=4

Then X=17-Y

2(17-Y)-3Y=4

34–2Y-3Y=4

34–4=5Y

30=5Y

Y=6

X=17–6=11 Ans.

Akinsimproved

11 months ago

Let the two consecutive numbers be x and x+1 respectively.
The sum of thrice the smaller and the twice the larger is 17
3x+2(x+1)=17
3x+2x+2=17
5x+2=17
5x=17-2
5x=15
x=15÷3
x=3
x+1=4
To find the smaller number as a percentage of the sum of the two numbers
We have:
(x÷(x+(x+1)) ×100 = (3÷(3+4))×100
=(3÷7)× 100
=0.428571×100
=42.8571%
~42.9%. (to 3 s.f)