ratio and proportion. answer the question correctly the answer will be marked brainlist. plss do it with steps, the Question is
Two numbers are in ratio 4:5 , If 5 is added to each number, the ratio becomes 13:16 . Find the numbers.
Answers
Answer: Mark me as a brainlist
Let the two numbers be x and y
so, ATQ,
x/y = 4/5
5x = 4y
5x - 4y = 0 .....(I)
Next,
If 5 is added in both number,
x+5/y+5 = 13/16
16(x+5) = 13(y+5)
16x + 80 = 13y + 65
16x - 13y = 65-80
16x - 13y + 15 = 0 .....(II)
From substitution method,
5x - 4y = 0
x = 4y/5 ......(III)
Putting value of eq (III) in eq (II), we will get the answer
16x - 13y +15 = 0
16(4y/5) - `3y +15 = 0
64y-5 - 13y = -15
64y-65y/5 = -15
-y/5 = -15
-y = -15 * 5
-y = -75
y = 75
Since we get value of y,
5x = 4y
5x = 4*75
x = 300/5
x = 60
The two numbers are 60 and 75.
Step-by-step explanation:
Step-by-step explanation:
Let two numbers are x and y
By question,
x:y. = 4:5
y =5x/4
Now , ( x+5):(y+5) =13 : 16
16x+80 = 13y+65
Putting y = 5x/4 above, we get
64x+60 = 65x
x =60 , y =75