The sum of a smaller number and a bigger number is 273. When the bigger number is divided by the smaller number, the quotient is 5 with the remainder 3. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 273
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 5 with 3
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 5 x 1 u + 3
= 5 u + 3
Total of the 2 numbers
= 5 u + 3 + 1 u
= 5 u + 1 u + 3
= 6 u + 3
6 u + 3 = 273
6 u = 273 - 3
6 u = 270
1 u = 270 ÷ 6 = 45
Smaller number
= 1 u
= 45
(b)
Bigger number
= 5 u + 3
= 5 x 45 + 3
= 228
Answer(s): (a) 45; (b) 228