The difference of two numbers is 1564. After dividing the larger number by the smaller, we get 6 as quotient and 19 as remainder. What is the smaller number?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 309.
Given:
The difference of two numbers is 1564.
Formula used:
D = d × q + r
Where, D = Dividend, d= Divisor q = Quotient and r = Remainder
Calculation:
Let the larger number be x and the smaller number be y
So, x - y = 1564 ----(1)
Again, x = (y × 6) + 19 = 6y + 19 ----(2)
Using the value of ‘x’ from eq(2) in eq(1)
⇒ (6y + 19) – y = 1564
⇒ 5y = 1545
⇒ y = 1545/5 = 309
Hence, the smaller number = 309