Two numbers are in the ratio 3 : 5. If their sum is 72, then the numbe

1.	Two numbers are in the ratio 3 : 5. If their sum is 72, then the numbers are :
Answer» Given : Two NUMBERS are in ratio 3:5. Sum of the numbers is 72. To Find : Two numbers. SOLUTION : $\longmapsto\tt{Let\:the\:1st\:no.\:be=3x}$ $\longmapsto\tt{Let\:the\:2nd\:no.\:be=5x}$ $\longmapsto\tt{Sum\:of\:Numbers=72}$ A.T.Q : $\longmapsto\tt{3x+5x=72}$ $\longmapsto\tt{8x=72}$ $\longmapsto\tt{x=\cancel\dfrac{72}{8}}$ $\longmapsto\tt\bold{x=9}$ Therefore : $\longmapsto\tt{First\:No.=3(9)}$ $\longmapsto\tt\bold{27}$ $\longmapsto\tt{Second\:No.=5(9)}$ $\longmapsto\tt\bold{45}$ _______________________ VERIFICATION : $\longmapsto\tt{72=3x+5x}$ $\longmapsto\tt{72=3(9)+5(9)}$ $\longmapsto\tt{72=27+45}$ $\longmapsto\tt\bold{72=72}$ HENCE VERIFIED