If 5 a-2 b-5 a-2 b-5-3- then a - b-

The correct option is D 8/5 5a+2b/5a 2b =5/3 5a + 2b + 5a 2b/5a + 2b 5a + 2b =5 + 3/5 3 [Applying componendo and dividendo] 10 a/4b = 8/2 2(5a)/2(2b) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Componendo and Dividendo Rule

If 5 a+2 b/5 ...

Question

If $\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$ , then a : b =

$\frac{8}{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{8}{5}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$\frac{5}{8}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{3}{8}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
$\frac{8}{5}$

$\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$

$\frac{5 a + 2 b + 5 a - 2 b}{5 a + 2 b - 5 a + 2 b} = \frac{5 + 3}{5 - 3}$ [Applying componendo and dividendo]

$\frac{10 a}{4 b} = \frac{8}{2}$

$\frac{2 (5 a)}{2 (2 b)} = \frac{8}{2}$

$\frac{a}{b} = \frac{8}{5}$

Suggest Corrections

Similar questions

Q. If

\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}

, then find the value of a : b.

Q. If

a : b = 3 : 5

, find :

(10 a + 3 b) : (5 a + 2 b)

Q. If a:b=

3

5

, find

(10 a + 3 b) : (5 a + 2 b)

25 a^{2} b^{3} \div 5 a^{2} b =

___________.

Q. If

Adj ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 2 - 1 & 1 & - 2 0 & 2 & 1 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 5 & a & - 2 1 & 1 & 0 - 2 & - 2 & b \end{matrix} ⎤ ⎥ ⎦, then [a b] =

Join BYJU'S Learning Program

If 5a+2b5a−2b=53, then a : b =

The correct option is B 85 5a+2b5a−2b=53 5a+2b+5a−2b5a+2b−5a+2b=5+35−3 [Applying componendo and dividendo] 10a4b=82 2(5a)2(2b)=82 ab=85

If $\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$ , then a : b =

The correct option is B
$\frac{8}{5}$

$\frac{5 a + 2 b}{5 a - 2 b} = \frac{5}{3}$

$\frac{5 a + 2 b + 5 a - 2 b}{5 a + 2 b - 5 a + 2 b} = \frac{5 + 3}{5 - 3}$ [Applying componendo and dividendo]

$\frac{10 a}{4 b} = \frac{8}{2}$

$\frac{2 (5 a)}{2 (2 b)} = \frac{8}{2}$

$\frac{a}{b} = \frac{8}{5}$