Question

the ratio of two numbers is 8:7. if to is subtracted from both the numbers, the ratio changes to 7:6. find the number.

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Answer 1

Step-by-step explanation:

let the original ratio be x.

Therefore, the ratio is 8x and 7x.

two is subtracted from both numbers,the ratio changes to 7:6.

therefore, 8x-2/7x-2=7/6

by cross multiplication,

6(8x-2)+7(7x-2) = x

48x-2+49x-2=x

46x+47x=x

83x=x

: . x=83

Therefore,substitute the value of x.

: . 8x=8(83)=664 degree

7x=7(83)=581 degree