The sum of a smaller number and a bigger number is 239. When the bigger number is divided by the smaller number, the quotient is 4 with the remainder 9. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 239
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 4 with 9
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 4 x 1 u + 9
= 4 u + 9
Total of the 2 numbers
= 4 u + 9 + 1 u
= 4 u + 1 u + 9
= 5 u + 9
5 u + 9 = 239
5 u = 239 - 9
5 u = 230
1 u = 230 ÷ 5 = 46
Smaller number
= 1 u
= 46
(b)
Bigger number
= 4 u + 9
= 4 x 46 + 9
= 193
Answer(s): (a) 46; (b) 193