The sum of a smaller number and a bigger number is 235. When the bigger number is divided by the smaller number, the quotient is 3 with the remainder 3. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 235
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 3 with 3
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 3 x 1 u + 3
= 3 u + 3
Total of the 2 numbers
= 3 u + 3 + 1 u
= 3 u + 1 u + 3
= 4 u + 3
4 u + 3 = 235
4 u = 235 - 3
4 u = 232
1 u = 232 ÷ 4 = 58
Smaller number
= 1 u
= 58
(b)
Bigger number
= 3 u + 3
= 3 x 58 + 3
= 177
Answer(s): (a) 58; (b) 177