plzz solve the question... 10th question
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Let the required number be 10x + y.
Given that tens place of a two-digit number is three times the units place.
x = 3y
Given that the number is reversed. Then it becomes 10y + x.
Given that the new number will be 36 less than the original number.
10x + y - (10y + x) = 36
10x + y - 10y - x = 36
9x - 9y = 36
x - y = 4
3y - y = 4
2y = 4
y = 2.
Substitute y = 2 in (1),we get
x = 3y
x = 3(2)
x = 6
Therefore the required number = 62.
Verification:
10x + y - (10y + x) = 36
10(6) + 2 - 10(2) - 6 = 36
60 + 2 - 20 - 6 = 36
36 = 36.
Hope this helps!
Given that tens place of a two-digit number is three times the units place.
x = 3y
Given that the number is reversed. Then it becomes 10y + x.
Given that the new number will be 36 less than the original number.
10x + y - (10y + x) = 36
10x + y - 10y - x = 36
9x - 9y = 36
x - y = 4
3y - y = 4
2y = 4
y = 2.
Substitute y = 2 in (1),we get
x = 3y
x = 3(2)
x = 6
Therefore the required number = 62.
Verification:
10x + y - (10y + x) = 36
10(6) + 2 - 10(2) - 6 = 36
60 + 2 - 20 - 6 = 36
36 = 36.
Hope this helps!
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