The sum of a smaller number and a bigger number is 263. When the bigger number is divided by the smaller number, the quotient is 5 with the remainder 5. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 263
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 5 with 5
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 5 x 1 u + 5
= 5 u + 5
Total of the 2 numbers
= 5 u + 5 + 1 u
= 5 u + 1 u + 5
= 6 u + 5
6 u + 5 = 263
6 u = 263 - 5
6 u = 258
1 u = 258 ÷ 6 = 43
Smaller number
= 1 u
= 43
(b)
Bigger number
= 5 u + 5
= 5 x 43 + 5
= 220
Answer(s): (a) 43; (b) 220