The sum of a smaller number and a bigger number is 258. When the bigger number is divided by the smaller number, the quotient is 4 with the remainder 3. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 258
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 4 with 3
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 4 x 1 u + 3
= 4 u + 3
Total of the 2 numbers
= 4 u + 3 + 1 u
= 4 u + 1 u + 3
= 5 u + 3
5 u + 3 = 258
5 u = 258 - 3
5 u = 255
1 u = 255 ÷ 5 = 51
Smaller number
= 1 u
= 51
(b)
Bigger number
= 4 u + 3
= 4 x 51 + 3
= 207
Answer(s): (a) 51; (b) 207