The sum of a smaller number and a bigger number is 296. When the bigger number is divided by the smaller number, the quotient is 3 with the remainder 4. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 296
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 3 with 4
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 3 x 1 u + 4
= 3 u + 4
Total of the 2 numbers
= 3 u + 4 + 1 u
= 3 u + 1 u + 4
= 4 u + 4
4 u + 4 = 296
4 u = 296 - 4
4 u = 292
1 u = 292 ÷ 4 = 73
Smaller number
= 1 u
= 73
(b)
Bigger number
= 3 u + 4
= 3 x 73 + 4
= 223
Answer(s): (a) 73; (b) 223