...::a;+5: Subtracting terms, (Art. 389, 6.) a;+ 1 : 4 : : a; + 5 : 8 Therefore 8*+8 = 4;c+20. And.v = 3. Find two numbers, the greater of which shall be to...as their sum to 42; and as their difference to 6. Let x and y= the numbers. By the conditions a; : y : : x +y : 42 And xiy.:x —y : 6 By equality of...

...7; by transposition, за? = 15; and x = 5 ; .'. у = ïx + 8 = 18, and the fraction is — . 18 4. Find two numbers, the greater of which shall be to...as their sum to 42, and as their difference to 6. Let x and у = the numbers ; then x : у : : x + у : 42, and x : у : \ x — у : 6. .: x + y : 42...

...shown is to the true time as 29 to 105. Required the true time. • Ans. 8 hours, 45 minutes. Prob. 3. Find two numbers, the greater of which shall be to...as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference, sum, and product, are as the...

...shown is to the true time as 29 to 105. Required the true time. Ans. 8 hours, 45 minutes. Prob. 3. Find two numbers, the greater of which shall be to...as their sum to 42, and as their difference to 6, Ans. 32, and 24. Prob. 4. What two numbers are those, whose difference, sum, and product, are as the...

...subtraction, Зя — 8 = 7; by transposition, 3x =15; and лг = 5; =18, 5 and the fraction is — . 18 4. Find two numbers, the greater of which shall be to...as their sum to 42, and as their difference to 6. Let x and у = the numbers; then, x : у :: x+y : 42, and x : у :: x — у : 6. But ratios which...

...x+5::*+5 :x + 13 Subtracting terms, (Art. 389, 6.) x + l : 4: '.x+5 : 8 Therefore 8* + 8=4*+20. And*=3. 3. Find two numbers, the greater of which shall be to...as their sum to 42 ; and as their difference to 6. • Let x and y= the numbers. By the conditions x : y '. '. x +y : 42 And x:y'.'.x— y: 6 By equality...

...gave him 10, they had each the same number. How many had each at first ? Ans. A had 80 and B 20 13. Find two numbers, the greater of which shall be to the less, as their sum is to 21, and as their difference is to 3. Ans. 16 and 12. 14. Find two numbers, whose sum, difference,...

...whose difference, sum, and produet are as the numbers 2, 3 and 5 respectively ? Ans. 10 and 2. 10. Find two numbers, the greater of which shall be to the less аз their sum to 42, and as their difference to 6. Ans. 32 and 24. 11. A and В being at play, severally...

...: : x+5 : 8 Therefore i 8x+ 8=4*4-20. And x=3. x : y : x : y : : x-\-y : x - y 3. Find two number?, the greater of which shall be to the less, as their sum to 42 ; ami as their difference to 6. Let x and y= the numbers. By the conditions, And By equality of ratios,...

...second, we obtain 3o; = 15; whence, x = 5, y=2x + 8 = 10 + 8 = 18. The fraction is therefore, T5. Io 2. Find two numbers the greater of which shall be to the less, as their sum is to 42, and as their difference is to 6. Let x and y be the numbers ; then, . x : y = x + y : 42,...