The sum of a smaller number and a bigger number is 297. When the bigger number is divided by the smaller number, the quotient is 6 with the remainder 3. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 297
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 6 with 3
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 6 x 1 u + 3
= 6 u + 3
Total of the 2 numbers
= 6 u + 3 + 1 u
= 6 u + 1 u + 3
= 7 u + 3
7 u + 3 = 297
7 u = 297 - 3
7 u = 294
1 u = 294 ÷ 7 = 42
Smaller number
= 1 u
= 42
(b)
Bigger number
= 6 u + 3
= 6 x 42 + 3
= 255
Answer(s): (a) 42; (b) 255