Question
When the digits are swapped, the new two-digit number
equals 44 less than 120% of the original. The sum of the digits is 13. Determine the original number.Solution
Let tens = x, units = y. Original = 10x + y; swapped = 10y + x. 10y + x = 1.2(10x + y) − 44 1.2 = 6/5 ⇒ multiply by 5: 50y + 5x = 60x + 6y − 220 ⇒ 55x − 44y = 220 … (I) x + y = 13 … (II) Multiply (II) by 44 and add to (I): (55x − 44y) + (44x + 44y) = 220 + 572 ⇒ 99x = 792 ⇒ x = 8 y = 13 − 8 = 5 Original number = 10×8 + 5 = 85
A central bank decides to increase money supply. For a given price level, the LM curve is expected to
For a positively sloped LM curve, which of the following statements is CORRECT?
An employee has a basic pay of Rs. 12000 and a D.A. of 12% in 1997. If the employee should get a 5% rise in real income each year, what should be the DA...
In a government budget, revenue deficit is Rs. 50000 crores and borrowing are Rs. 75000 crores. The fiscal deficit will be:
The substitution effect for a commodity is
The histogram above represents the lifespan of a random sample of a particular type of insect.
Determine the relationship between the mean and me...
Starting from a position where the nation's money demand equals the money supply and its balance of payments is in equilibrium its balance of payments w...
How do expected inflation and changes in payment technology affect money demand?
T he Golden Rule of Capital in the Solow Growth Model is that level of steady-state capital per worker where,
I. �...
