Question

if i add 1 to each of the two digit numbers then their ratio is 1:2.if i subtract 5 from each number the ratio is 5:11 find the number​

Answer 1

Step-by-step explanation:

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ANSWER

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.

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