Short Answer TypeLet the digit at 10’s place be x
and digit at unit’s place be y.
∴ Number = 10x + y
Number obtained after reversing the order of the digits = 10y + x
Case I.
10x + y + 10y + x = 66
⇒ 11x + 11y = 66
⇒ 11(x + y) = 66
⇒ x + y = 6 ...(i)
Case II. x - y = ±2
⇒ x - y = + 2 ...(ii)
and x - y = - 2 ...(iii)
Considering (i) and (ii), we get
Putting the value of ‘y’ in (i), we get
x + 2 = 6
⇒ x = 4
So, Number = 10x + y
= 42
Considering (i) and (iii), we get![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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Putting the value of ‘y’ in (i), we get
x + y = 6
⇒ x + 4 = 6
⇒ x = 2
So, Number = 10x + y = 24
Thus, there are two such numbers 42 and 24.
Solve the following system of equations by elimination method
6(ax + by) = 3a + 2b
6(bx - ay) =3b - 2a.
A motor boat whose speed is 24 km/h in still water takes 1 hour more to go 32km upstream than to return downstream to the same spot. Find the speed of the stream.
Long Answer TypeIf the points A(k + 1, 2k), B(3k, 2k + 3) and C(5k – 1, 5k) are collinear, then find the value of k.
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