Question

4/5 of a number exceeds its 2/3 by 8. find the number​

Answer 1

Answer:

hey dear ,

4/5 of number

it's 2/3 by 8

find the number ....

x=60

PREMISES

y=4/5(x)=2/3(x)+8

*** INTERPRETATION ***

4/5 of a number, say x, equals 8 more than 2/3 of the number x

ASSUMPTIONS

Let x=the number

CALCULATIONS

4/5(x)=2/3(x)+8 (Convert the fractions to the common denominator 15 to simplify the math)

12/15(x)=10/15(x)+8

12/15(x)-10/15(x)=[10/15(x)-10/15(x)]+8

2/15(x)=0+8

2/15(x)=8 (Multiply the equation by the inverse of the fraction 2/15 to eliminate the fraction and to simplify the solution)

15/2[2/15(x)=8]

x=120/2

x=

60

PROOF

If x=60, then the equations

4/5(x)=2/3(x)+8

4/5(60)=2/3(60)+8 and

48=48 prove that x=60 is a zero (root) of the expression 4/5(x)=2/3(x)+8 .

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Answer 2

Let no. be x

4/5x-2/3x=8

taking lcm

12/15-10/15x=8

cross multiply

12x-10x=120

2x=120

x=60