The sum of a smaller number and a bigger number is 270. When the bigger number is divided by the smaller number, the quotient is 6 with the remainder 4. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 270
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 6 with 4
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 6 x 1 u + 4
= 6 u + 4
Total of the 2 numbers
= 6 u + 4 + 1 u
= 6 u + 1 u + 4
= 7 u + 4
7 u + 4 = 270
7 u = 270 - 4
7 u = 266
1 u = 266 ÷ 7 = 38
Smaller number
= 1 u
= 38
(b)
Bigger number
= 6 u + 4
= 6 x 38 + 4
= 232
Answer(s): (a) 38; (b) 232