Sum of digits of a no is 7 if 9 is subtracted from the no.the digits get reversed find the No
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Let the tens digit be x, unit be 7-x original no. equals to 10x+7-x and reversible no. = 70x-10 a/q =10x+7-x-9=70-10x+x by solve the equation we get x=4 therefore no. is 43
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♧♧HERE IS YOUR ANSWER♧♧
Let, the digits are a and b.
So, the number is (10a + b).
When the digits are reversed, the number is (10b + a).
By the given condition :
(10a + b) - 9 = 10b + a
=> 9a = 9b + 9
=> a = b + 1 .....(i)
and
a + b = 7 .....(ii)
From (i) and (ii), eliminating b, we get :
b + 1 + b = 7
=> 2b = 6
=> b = 3
From (i), putting b = 3, we get :
a = 3 + 1 = 4
Therefore, the required number is 43.
♧♧HOPE THIS HELPS YOU♧♧
Let, the digits are a and b.
So, the number is (10a + b).
When the digits are reversed, the number is (10b + a).
By the given condition :
(10a + b) - 9 = 10b + a
=> 9a = 9b + 9
=> a = b + 1 .....(i)
and
a + b = 7 .....(ii)
From (i) and (ii), eliminating b, we get :
b + 1 + b = 7
=> 2b = 6
=> b = 3
From (i), putting b = 3, we get :
a = 3 + 1 = 4
Therefore, the required number is 43.
♧♧HOPE THIS HELPS YOU♧♧
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