Question

If p : q = 4:1, p = a + b and q = a - b, then find a : b​

Answer 1

${\huge{\underline{\underline{\sf {\mathfrak{Answer}}}}}}$

${\underline{\underline{\rm {Given:}}}}$

• $p:q =4:1$
• $p=a+b$
• $q =a-b$

${\underline{\underline{\rm {Solution:}}}}$

$p:q = 4:1$

$\dfrac{p}{q} = \dfrac{4}{1}$

$\dfrac{p}{q} = 4$

$\dfrac{a+b}{a-b} = 4$

$a+b = 4(a-b)$

$a + b = 4a - 4b$

$4a - a = b + 4b$

$3a = 5b$

$\dfrac{a}{b} = \dfrac{5}{3}$

$\boxed{\implies{\boxed{a:b = 5:3}}}$

Answer 2

Answer:

Answer:5:3

Answer:5:3Step-by-step explanation:

Answer:5:3Step-by-step explanation:p:q = 4:1

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4 a+b/a-b = 4

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4 a+b/a-b = 4a+b = 4(a-b)

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4 a+b/a-b = 4a+b = 4(a-b)a+b = 4a-4b

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4 a+b/a-b = 4a+b = 4(a-b)a+b = 4a-4b4a-a = b+4b

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4 a+b/a-b = 4a+b = 4(a-b)a+b = 4a-4b4a-a = b+4b3a = 5b

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4 a+b/a-b = 4a+b = 4(a-b)a+b = 4a-4b4a-a = b+4b3a = 5ba/b = 5/3

Answer:5:3Step-by-step explanation:p:q = 4:1p/q = 4/1p/q = 4 a+b/a-b = 4a+b = 4(a-b)a+b = 4a-4b4a-a = b+4b3a = 5ba/b = 5/3a:b = 5:3