Question

Abi solved 7 more maths problems than Priya did. If the ratio of the problems Priya and Abi Solved is 2: 3, how many problems did each solve?

Answer 1

Answer:

$\huge\star\underline{\mathtt\orange{❥a} \mathfrak\blue{n } \mathbb\purple{ Տ} \mathbb\pink{wer}}\star\:$

Let p is to be added to each term of a : b

to get the ratio x : y

Therefore,

a+p

b+p

=x y

x(a + p) = y(b + p)

⇒ ax + px = by + py

→py - px = ax - by

p(y - x) = ax - by

⇒P= ax-by y-x

Therefore, the required number is

ax-by

y-x

Answer 2

Answer:

⋆

❥anՏwer

⋆

Let p is to be added to each term of a : b

to get the ratio x : y

Therefore,

a+p

b+p

=x y

x(a + p) = y(b + p)

⇒ ax + px = by + py

→py - px = ax - by

p(y - x) = ax - by

⇒P= ax-by y-x

Therefore, the required number is

ax-by

y-x