two number are in the ratio of 2:3 . if 2 is added to both, the ratio becomes 3/4 . find the number
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1
Step-by-step explanation:
Let, the two numbers are x and y.
According to the first conditions,
y+2
x+2
=
2
1
⇒2x−y=−2⟶(1)
and according to the second condition,
y−4
x−4
=
11
5
⇒11x−5y=24⟶(2)
Multiplying equation (1) by 5 we get,
10x−5y=−10⟶(3)
Subtracting equation (2) from equation (3),
⇒11x−5y−10x+5y=24+10
⇒x=34
Putting the value of x in equation (1),
⇒2×34−y=−2
⇒68−y=−2
⇒y=70
Hence, the required numbers are 34,70.
Answered by
1
Step-by-step explanation:
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