The sum of a smaller number and a bigger number is 269. When the bigger number is divided by the smaller number, the quotient is 7 with the remainder 5. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 269
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 7 with 5
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 7 x 1 u + 5
= 7 u + 5
Total of the 2 numbers
= 7 u + 5 + 1 u
= 7 u + 1 u + 5
= 8 u + 5
8 u + 5 = 269
8 u = 269 - 5
8 u = 264
1 u = 264 ÷ 8 = 33
Smaller number
= 1 u
= 33
(b)
Bigger number
= 7 u + 5
= 7 x 33 + 5
= 236
Answer(s): (a) 33; (b) 236