If D : E = 3 : 2 and D - E = 9, find the value of D + E.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 45.
D : E = 3 : 2
D/E = 3/2
⇒ D = 3/2 E....(1)
⇒ D - E = 9.....(2)
Putting value from equation 1 into equation 2
⇒ 3/2E - E = 9
⇒ E/2 = 9
⇒ E = 18 and
⇒ D = 27
The value of D + E = 27 + 18 = 45