Question

find the number which when added to each term of ratio 27:35 , changes the ratio to 4:5

Answer 1

Answer :

The given ratio is 27 : 35

Let, x be added to each term (numerator and denominator) of the ratio and the ratio will become 4 : 5

Then,

(27 + x) : (35 + x) = 4 : 5

⇒ (27 + x)/(35 + x) = 4/5

⇒ 5 (27 + x) = 4 (35 + x)

⇒ 135 + 5x = 140 + 4x

⇒ 5x - 4x = 140 - 135

⇒ x = 5

Therefore, 5 should be added.

#MarkAsBrainliest