Question

If a:b = c:d =2.5:1.5, what the values of ad:bc and a+c : b+d?
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Answer 1

Answer:

a:b=c:d=2.5:1.5

=5. : 3(cancelling with 0.5)

we know that(W.KT)

a:b = c:d

\begin{gathered} \frac{a}{b} = \frac{c}{d} \\ ad = bc \\ \frac{ad}{bc} = \frac{1}{1} \end{gathered}

b

a

=

d

c

ad=bc

bc

ad

=

1

1

so, ad:bc = 1

\frac{a}{b} = \frac{c}{d} = \frac{5}{3}

b

a

=

d

c

=

3

5

let a =5x

b = 3x

c = 5y

d= 3y

\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+d

a+c

=

(3x)+(3y)

(5x)+(5y)

3x+3y

5x+5y

=

3(x+y)

5(x+y)

=

3

5

so a+c : b+d = 5:3