Question

If a/b=c/d=25/15 find a+c=b+d

Answer 1

Step-by-step explanation:

$a:b=c:d=2.5:1.5</p><p>=5 : 3(cancelling \: with \: 0.5)</p><p>we \: know \: that \: </p><p>a:b = c:d \\ </p><p>\begin{gathered} \frac{a}{b} = \frac{c}{d} \\ ad = bc \\ \frac{ad}{bc} = \frac{1}{1} \end{gathered}ba=dcad=bcbcad=11</p><p>so, ad:bc = 1</p><p></p><p>\frac{a}{b} = \frac{c}{d} = \frac{5}{3}ba=dc=35</p><p>let a =5x</p><p>b = 3x</p><p>c = 5y</p><p>d= 3y</p><p>\begin{gathered} \frac{a + c}{b + d} = \frac{(5x) + (5y)}{(3x) + (3y)} \\ \frac{5x + 5y}{3x + 3y} = \frac{5(x +y )}{3(x + y)} \\ = \frac{5}{3} \end{gathered}b+da+c=(3x)+(3y)(5x)+(5y)3x+3y5x+5y=3(x+y)5(x+y)=35</p><p>so a+c : b+d = 5:3$