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04.11.2019 •
Mathematics
The sum of the digits of a certain two digit number is 11. reversing its digits decreases the number by 27 what is the number
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Ответ:
Let the digits of number be x and y
so,
number = 10y + x
given sum of digits = 11
so,
x + y = 11 ...(1)
also,
Reversing its digits decreases the number by 27
so,
reversed number = 10x + y
according to the question,
10x + y - (10y + x) = 27
10x + y - 10y - x = 27
9x - 9y = 27
9(x - y) = 27
x - y = 3. ...(2)
(1) + (2)x + y + x - y = 11 + 3
2x = 14
x = 14/2
x = 7
putting the value of x on (2)
x - y = 3
7 - y = 3
-y = 3 - 7
- y = -4
y = 4
x = 7
so,
number = 10y + x
= 10(4) + 7
= 40 + 7
= 47
Required number = 47hope it helps !
.
I'm new on this app anyone be my friend
Ответ:
74
Step-by-step explanation:
7+4=11
74-47=27
Ответ:
x = 132°
Step-by-step explanation:
∠AED and ∠CEB are both vertical angles. Vertical angles will always be equal to each other, so ∠AED = ∠CEB.
Since they're equal, if ∠AED = 132°, then ∠CEB must also equal 132°.
(∠CEB is the x value you're asking about by the way).
If you have any questions, or anything was confusing, comment them and I'll help you out.