Word problems based on simultaneous equations 9th std
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Answer:
the number is 36
Step-by-step explanation:
let tens place digit is -x and unit digit-y
the number formed 10x+y
according to question:
the number is 4times the sum of the digit then
4(x+y)=10x+y
4x+4y=10x+y
10x-4x+y-4y=0
6x-3y=0
3 is common from this equation then
2x-y=0 -1 equation
now according to question:
the number formed by interchange the digit=2*original number -9 then-
after interchanging the number will 10y+x
10y+x=2*(10x+y)-9
10y+x=20x+2y-9
19x-8y=9-2equation
from 1&2equation
x=3 & y=6
the original no is 36
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