Question

Sum of two numbers is 95.if one exceeded the other by 15 find the numbers?​

Answer 1

Let the two numbers be x and y

Given ,

`x + y = 95 \: \: ...(1)`

Also ,

`y = x + 15 \: \: ...(2)`

Substiting equation 2 in equation 1 ,

`x + x + 15 = 95 \\ \dashrightarrow \: 2x + 15 = 95 \\ \dashrightarrow \: 2x = 95 - 15 \\ \dashrightarrow \: 2x = 80 \\ \: \: \: \: dividing \: both \: sides \: by \: 2 \: \\ \dashrightarrow \: \cancel(2x)/(2) = \cancel(80)/(2) \\ \\ \dashrightarrow \: \: \boxed{ x = 40}`

Now , y = x + 15

therefore ,

`y = 40 + 15 \\ \dashrightarrow \boxed{ y = 55 }`

Hence ,

the two numbers are 40 and 55 .

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