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Let the number be (10 x + y)
Then, 10 x + y = 3 * (x + y) (given)
Or, 10 x + y = 3 x + 3 y
Or, 10 x - 3 x = 3 y - y
Or, 7x = 2 y
Or, x = 2 y / 7 ( Eq. 1)
Also, 10 x + y + 45 = 10 y + x ( given)
Or, 10 x - x = 10 y - y - 45
Or, 9 x = 9 y - 45 ( Eq. 2)
Substituting the value of x from (Eq. 1) in (Eq. 2), we have:
9 * 2 y / 7 = 9 y - 45
Or, (9 y ) - (18 y / 7) = 45
Or, 63 y - 18 y = 315
Or, 45 y = 315
Or, y = 7
From (Eq. 1),
x = 2 * 7 / 7 = 2
So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27
Answer
Check:
Sum of the digits = 2 + 7 = 9
9 * 3 = 27 ✓
Adding 45 to the number 27, we get 72. So, the digits get reversed.
Answer:
Step-by-step explanation:
Given:
Length of a rectangle solid = 3 m
Width of a rectangle solid = 0.6 m
Height of a rectangle solid = 0.4 m
To find: Volume of the solid
Solution:
Volume of the solid = length × breadth × height
So, the number of cubic meters in the volume of the solid is
Answer:
The degree of the remainder should be 4 for the division process to be stopped
Step-by-step explanation:
From the question, we have the degree of the divisor as 5
So, for the division process to be stopped, the degree of the remainder should be one less than the degree of the divisor
Once the degree of the remainder is less than the degree of the divisor, we have no option that to stop and not proceed further with the division
So in the case of the particular question, the degree of the remainder should be of degree 4
Answer:
21.4 mm
Step-by-step explanation:
area ÷ base = height
164.78 mm^2 ÷ 7.7 mm
21.4 mm
Check:
base • height = area
7.7 mm • 21.4 mm = 164.78 mm^2
Answer: 12.5 cm
Step-by-step explanation:
Equation would be:
1:80
?:1000
So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.
