DD continous quantitative
The mistake is n third line - adding 3w
96 + 2w =2(80 - 3w)
96 + 2w = 160 - 6w
+ 6w + 6w
96 + 8w = 160
- 96 -96
8w = 64
w = 8 weeks answer
The larger number is 17
<em><u>Solution:</u></em>
Let "x" be the larger number
Let "y" be the smaller number
<em><u>The difference between of two numbers is 9</u></em>
Therefore,
larger number - smaller number = 9
x - y = 9 -------- eqn 1
<em><u>The large number is one more than twice the smaller number</u></em>
Larger number = 1 + 2(smaller number)
x = 1 + 2y ------ eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
1 + 2y - y = 9
1 + y = 9
y = 9 - 1
y = 8
<em><u>Substitute y = 8 in eqn 1</u></em>
x - 8 = 9
x = 8 + 9
x = 17
Thus the larger number is 17