Question

The ratio of two numbers is 8: 5. If 8 is added to the greater number and 5 is subtracted from the smaller number, the greater number becomes twice the smaller number. Find the smaller number. (15 (2) 75 (3) 25 (4) 45 02 24 what is the value​

Answer 1

Answer:

Step-by-step explanation:

let the greater number be x and the smaller number be y

so x:y=8:5⇒5x=8y⇒x=8y/5(equation 1)

x+8=2(y-5)⇒

x+8=2y-10 ⇒(equation 2)

substituting equation 1 in equation 2

8y/5+8=2y-10 ⇒ 8y+40/5=2y-10 ⇒ 8y+40=10y-50

2y=90⇒ y=45

so, x=8y/5=8×45/5⇒x=72

therefore the two numbers are 72 and 45.

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