The sum of a smaller number and a bigger number is 294. When the bigger number is divided by the smaller number, the quotient is 3 with the remainder 6. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 294
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 3 with 6
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 3 x 1 u + 6
= 3 u + 6
Total of the 2 numbers
= 3 u + 6 + 1 u
= 3 u + 1 u + 6
= 4 u + 6
4 u + 6 = 294
4 u = 294 - 6
4 u = 288
1 u = 288 ÷ 4 = 72
Smaller number
= 1 u
= 72
(b)
Bigger number
= 3 u + 6
= 3 x 72 + 6
= 222
Answer(s): (a) 72; (b) 222