Two numbers are in the ratio 3: 4; When 8 is subracter from each, the ratio
becomes 2 : 3. Find the numbers.
Answers
Answered by
1
ANSWER :
Let ratio be x
A.T.Q.
3x-8/4x-8=2/3
3(3x-8)=2(4x-8)
9x-24=8x-16
9x-8x=16+24
x=40
1 number =3×40=120
2 number =2×40=80
Hope it helps
Answered by
0
Answer:
Step-by-step explanation:
let the ratio be 'x'
therefore, 3:4 will become 3x/4x.
now, subract 8 so that the ratio becomes 2/3:
it will be 3x-8/4x-8 = 2/3
If you cross multiply, it will be :
3(3x-8)=2(4x-8)
now if you solve this you get:
9x-24=8x-16
take 9x and -16 on opposite side.
-24+16=8x-9x
therefore x = 8.
Now, as per the ratio 3x:4x, the first number will be:
3 x 8 = 24
and the second number will be:
4 x 8 = 32
therfore:
ans = (24,32)
thank you......
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