Question

If (4a7b): (4a-7b)= 7:1 then a:b=?​

Answer 1

Answer:

The ratio a : b is 7 : 3.

Step-by-step-explanation:

We have given that,

( 4a + 7b ) : ( 4a - 7b ) = 7 : 1

We have to find a : b.

Now,

( 4a + 7b ) : ( 4a - 7b ) = 7 : 1

⇒ ( 4a + 7b ) / ( 4a - 7b ) = 7 / 1

⇒ 1 ( 4a + 7b ) = 7 ( 4a - 7b )

⇒ 4a + 7b = 28a - 49b

⇒ 7b + 49b = 28a - 4a

⇒ 56b = 24a

⇒ 24a = 56b

⇒ a / b = 56 / 24

⇒ a / b = 14 / 6

⇒ a / b = 7 / 3

⇒ a : b = 7 : 3

∴ The ratio a : b is 7 : 3.

Answer 2

Answer:

$\sf\small\red{The \: ratio \: a:b \: is \: 7:3}$

Step-by-step explanation:

$\fbox\green{♡︎Exᴘʟᴀɴᴀᴛɪᴏɴ}$

Wᴇ ʜᴀᴠᴇ Gɪᴠᴇɴ Tʜᴀᴛ

$\sf (4a7b): (4a-7b)= 7:1$

$\sf\underline{Tᴏ \: Fɪɴᴅ}$

$\red{a:b}$

$\fbox\red{Soultion}$

(4a7b): (4a-7b)= 7:1

$\sf (4a+7b)/ (4a-7b)= 7/1$

$\sf 1(4a+7b)=7(4a-7b)$

$\sf\implies(4a + 7b)(28a - 49b)$

$\sf\therefore \: 4a + 7b = 28a - 49b$

$\sf\implies \: 7b + 49b = 28a - 4a$

$\sf\implies \: 56b = 24a$

$\sf\therefore24a = 56b$

$\sf\implies\cancel\dfrac{56}{24}$

$\fbox\red{a/b=14/6}$

$\sf\implies\cancel\dfrac{14}{6}$

$\sf\implies\dfrac{7}{3}$

a:b=7:3

$\fbox\red{Therefore The ratio of a:b is 7:3}$