The sum of a smaller number and a bigger number is 265. When the bigger number is divided by the smaller number, the quotient is 2 with the remainder 4. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 265
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 2 with 4
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 2 x 1 u + 4
= 2 u + 4
Total of the 2 numbers
= 2 u + 4 + 1 u
= 2 u + 1 u + 4
= 3 u + 4
3 u + 4 = 265
3 u = 265 - 4
3 u = 261
1 u = 261 ÷ 3 = 87
Smaller number
= 1 u
= 87
(b)
Bigger number
= 2 u + 4
= 2 x 87 + 4
= 178
Answer(s): (a) 87; (b) 178