A two digit number divided by another two digit number gives 0 525 what are the number?
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0545 giyftydfdr8s5x84ssotz84d
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Step-by-step explanation:
ANSWER
Let the ten digits be x and let the units digits be y
Then, the required number is 10x+y
According to the question sum of digits =x+y
x+y
10x+y
=8
⇒10x+y=8x+8y
⇒10x−8y=8y−y
⇒2x=7y
⇒2x−7y=0−−−−−−−−−−(1)
Given,
x−3y=1−−−−−−−−−−−−−(2)
from equation (1) and (2)
2x−7y=0
(x−3y=1)×2
2x−7y=0
2x−6y=2
− + −
−−−−−−−−
−y=−2
y=2
put in equation (1)
2x−7y=0
2x−×2=0
2x=14
x=7
Hence the number is 10x+y
⇒ 10×7+2
=72
Hence, this is the answer.
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