Question

ratio of two numbers is 3:4 if 7 is subtracted from each number the ratio becomes 2:3 find the numbers​

Answer 1

Answer:

Let one number be x and another number be y,

According to question x:y=3:4

x=3k,y=4k ..(i)

Again

y−5

x−5

=

7

5

⇒7x−35=5y−25

(by cross multiplication)

⇒7x−5y−10 .(ii)

Substituting the value of x and y in equation (ii), we get

7×3k−5×4k=10

⇒21k−20k=10

⇒k=10

Hence, x=3k=3×10=30

and y=4k=4×10=40.