The difference of two numbers is 30% of their sum.The ratio of the larger numberto the smaller number is About the author Valentina
Step-by-step explanation: Let the numbers be p and q and p is greater than q. Then p – q = 45% of (p + q) ⇒ p – q = 45 (p + q) 100 ⇒ p – q = 9 (p + q) 20 ⇒ 20p – 20q = 9p + 9q ⇒ 20p – 9q = 20q + 9q ⇒ 11p = 29q ⇒ p = 29 or 29 : 11 q 11 Reply
Step-by-step explanation:
Let the numbers be p and q and p is greater than q.
Then p – q = 45% of (p + q)
⇒ p – q =
45
(p + q)
100
⇒ p – q =
9
(p + q)
20
⇒ 20p – 20q = 9p + 9q
⇒ 20p – 9q = 20q + 9q
⇒ 11p = 29q
⇒
p
=
29
or 29 : 11
q 11